@article {AHS,
	AUTHOR = {Asinowski, Andrei and Hackl, Benjamin and Selkirk, Sarah J.},
	TITLE = {Down-step statistics in generalized {D}yck paths},
	JOURNAL = {Discrete Math. Theor. Comput. Sci.},
	FJOURNAL = {Discrete Mathematics \& Theoretical Computer Science. DMTCS.},
	VOLUME = {24},
	YEAR = {2022},
	NUMBER = {1},
	PAGES = {Paper No. 17, 40},
	MRCLASS = {05A15 (05A19)},
	MRNUMBER = {4449186},
	MRREVIEWER = {Nancy Shanshan Gu},
doi = {arXiv:2007.15562v6},
url = {https://doi.org/10.46298/dmtcs.7163},	
}

@article {Bala,
	AUTHOR = {Balaban, Alexandru T. and Davies, Roy O. and Harary, Frank and Hill,
	Anthony and Westwick, Roy},
	TITLE = {Cubic identity graphs and planar graphs derived from trees},
	JOURNAL = {J. Austral. Math. Soc.},
	FJOURNAL = {Australian Mathematical Society. Journal. Series A. Pure
	Mathematics and Statistics},
	VOLUME = {11},
	YEAR = {1970},
	PAGES = {207--215},
	ISSN = {0263-6115},
	MRCLASS = {05.50},
	MRNUMBER = {0262108},
	MRREVIEWER = {W. G. Brown},
	doi={10.1017/S144678870000639X},
	url={https://doi.org/10.1017/S144678870000639X},
}

@incollection {Cyril,
	AUTHOR = {Banderier, Cyril},
	TITLE = {Limit laws for basic parameters of lattice paths with
	unbounded jumps},
	BOOKTITLE = {{Mathematics and Computer Science {II} ({V}ersailles, 2002)}},
	SERIES_notused = {Trends Math.},
	PAGES = {33--47},
	PUBLISHER = {Birkh\"{a}user},
	YEAR = {2002},
	MRCLASS = {60C05 (05A15 60G50 82B41)},
	MRNUMBER = {1940127},
	MRREVIEWER = {Sylvie Corteel},
	url={DOI:10.1007/978-3-0348-8211-8_2},
	doi={10.1007/978-3-0348-8211-8_2},	
}


@article {Baril-neu,
	AUTHOR = {Baril, Jean-Luc and Ram\'{\i}rez, Jos\'{e} L. and Simbaqueba, Lina M.},
	TITLE = {Counting prefixes of skew {D}yck paths},
	JOURNAL = {J. Integer Seq.},
	FJOURNAL = {Journal of Integer Sequences},
	VOLUME = {24},
	YEAR = {2021},
	NUMBER = {8},
	PAGES = {Art. 21.8.2, 15},
	MRCLASS = {05A15 (05A19)},
	MRNUMBER = {4322954},
	MRREVIEWER = {Ricky X. F. Chen},
	url={https://cs.uwaterloo.ca/journals/JIS/VOL24/Ramirez/ramirez10.html},
}


@article{baril-pockets,
	url= {https://cs.uwaterloo.ca/journals/JIS/VOL26/Kirgizov/kirg5.pdf},
	author = {Baril, Jean-Luc and Kirgizov, Sergey and Maréchal, Rémi and Vajnovszki, Vincent},
	keywords = {Discrete Mathematics (cs.DM), Combinatorics (math.CO), FOS: Computer and information sciences, FOS: Computer and information sciences, FOS: Mathematics, FOS: Mathematics},
	title = {Enumeration of {D}yck paths with air pockets},
 journal={J. Integer Seq.},
fJournal={Journal of Integer Sequences}, 
year={2023},
volume={26},
pages={Article 23.3},
}


 
 @article {baril-luka,
 	AUTHOR = {Baril, Jean-Luc and Prodinger, Helmut},
 	TITLE = {Enumeration of partial {{\L}}ukasiewicz paths},
 	JOURNAL = {Enumer. Comb. Appl.},
 	FJOURNAL = {Enumerative Combinatorics and Applications},
 	VOLUME = {3},
 	YEAR = {2023},
 	NUMBER = {1},
 	PAGES = {Paper No. S2R2, 13},
 	MRCLASS = {05A15 (05A05)},
 	MRNUMBER = {4528167},
 	DOI = {10.54550/eca2023v3s1r2},
 	URL = {https://doi.org/10.54550/eca2023v3s1r2},
 }

@incollection {BM-P,
	AUTHOR = {Bousquet-M\'{e}lou, Mireille and Petkov\v{s}ek, Marko},
	TITLE = {Walks confined in a quadrant are not always {D}-finite},
	NOTE = {Random generation of combinatorial objects and bijective
	combinatorics},
	JOURNAL = {Theoret. Comput. Sci.},
	FJOURNAL = {Theoretical Computer Science},
	VOLUME = {307},
	YEAR = {2003},
	NUMBER = {2},
	PAGES = {257--276},
	ISSN = {0304-3975},
	MRCLASS = {05A15 (60G50)},
	MRNUMBER = {2022578},
	DOI = {10.1016/S0304-3975(03)00219-6},
	URL = {https://doi.org/10.1016/S0304-3975(03)00219-6},
}

@book {Comtet-book,
	AUTHOR = {Comtet, Louis},
	TITLE = {{Advanced Combinatorics}},
	EDITION = {enlarged},
	NOTE_notused = {The art of finite and infinite expansions},
	PUBLISHER = {D. Reidel Publishing Co.},
	YEAR = {1974},
	PAGES = {xi+343},
	ISBN = {90-277-0441-4},
	MRCLASS = {05-02},
	MRNUMBER = {0460128},
	doi={https://doi.org/10.1007/978-94-010-2196-8},
}

@article {irene,
	AUTHOR = {Courtiel, Julien and Elvey Price, Andrew and Marcovici, Ir\`ene},
	TITLE = {Bijections between walks inside a triangular domain and
	{M}otzkin paths of bounded amplitude},
	JOURNAL = {Electron. J. Combin.},
	FJOURNAL = {Electronic Journal of Combinatorics},
	VOLUME = {28},
	YEAR = {2021},
	NUMBER = {2},
	PAGES = {Paper No. 2.6}, 
        pages_notused={44 pp.},
	MRCLASS = {05A19 (60G50)},
	MRNUMBER = {4245299},
	MRREVIEWER = {Arvind Ayyer},
	DOI = {10.37236/9724},
	URL = {https://doi.org/10.37236/9724},
}


@article {deng,
	AUTHOR = {Deng, Eva Y. P. and Mansour, Toufik},
	TITLE = {Three {H}oppy path problems and ternary paths},
	JOURNAL = {Discrete Appl. Math.},
	FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
	Algorithms, Informatics and Computational Sciences},
	VOLUME = {156},
	YEAR = {2008},
	NUMBER = {5},
	PAGES = {770--779},
	ISSN = {0166-218X},
	MRCLASS = {05A15 (11B37 39A05)},
	MRNUMBER = {2397221},
	MRREVIEWER = {Sen-Peng Eu},
	DOI = {10.1016/j.dam.2007.08.015},
	URL = {https://doi.org/10.1016/j.dam.2007.08.015},
}

@incollection {BrKnRi72,
	AUTHOR_notused = {de Bruijn, Nicolaas Govert and Knuth, Donald Ervin and Rice, Stephen Oswald},
	AUTHOR = {de Bruijn, Nicolaas G. and Knuth, Donald E. and Rice, Stephen O.},
	TITLE = {The average height of planted plane trees},
	BOOKTITLE = {{Graph Theory and Computing}},
        editor={R. C. Read},
	PAGES = {15--22},
	PUBLISHER = {Academic Press},
	YEAR = {1972},
	MRCLASS = {05C05},
	MRNUMBER = {0505710},
	MRREVIEWER = {P. E. O'Neil},
	doi={https://doi.org/10.1016/B978-1-4832-3187-7.50007-6},
}

 
@article {Deutsch,
	AUTHOR = {Deutsch, Emeric},
	TITLE = {Problem 10751},
	JOURNAL = {Amer. Math. Monthly},
	VOLUME = {106},
	YEAR = {1999},
        pages={686},
	NUMBER = {7},
        doi={https://doi.org/10.2307/2695568},
note={Solution in \href{https://doi.org/10.2307/2695568}{AMM vol.~108(9):872, 2001}},
url_notused={https://doi.org/10.2307/2695568},
}


@article {Deutsch-italy,
	AUTHOR = {Deutsch, Emeric and Munarini, Emanuele and Rinaldi, Simone},
	TITLE = {Skew {D}yck paths},
	JOURNAL = {J. Statist. Plann. Inference},
	FJOURNAL = {Journal of Statistical Planning and Inference},
	VOLUME = {140},
	YEAR = {2010},
	NUMBER = {8},
	PAGES = {2191--2203},
	ISSN = {0378-3758},
	MRCLASS = {05A15},
	MRNUMBER = {2609478},
	MRREVIEWER = {Anna de Mier},
	DOI = {10.1016/j.jspi.2010.01.015},
	URL = {https://doi.org/10.1016/j.jspi.2010.01.015},
}



@article {Shapiro,
	AUTHOR = {Deutsch, Emeric and Shapiro, Louis W.},
	TITLE = {A bijection between ordered trees and 2-{M}otzkin paths and
	its many consequences},
	NOTE = {LaCIM 2000 Conference on Combinatorics, Computer Science and
	Applications (Montreal, QC)},
	JOURNAL = {Discrete Math.},
	FJOURNAL = {Discrete Mathematics},
	VOLUME = {256},
	YEAR = {2002},
	NUMBER = {3},
	PAGES = {655--670},
	ISSN = {0012-365X},
	MRCLASS = {05A15 (05A19 05C05 05C30)},
	MRNUMBER = {1935782},
	MRREVIEWER = {Martin Klazar},
	DOI = {10.1016/S0012-365X(02)00341-2},
	URL = {https://doi.org/10.1016/S0012-365X(02)00341-2},
}

@article {polish,
	AUTHOR = {Dziemia\'{n}czuk, Maciej},
	TITLE = {Counting lattice paths with four types of steps},
	JOURNAL = {Graphs Combin.},
	FJOURNAL = {Graphs and Combinatorics},
	VOLUME = {30},
	YEAR = {2014},
	NUMBER = {6},
	PAGES = {1427--1452},
	ISSN = {0911-0119},
	MRCLASS = {05A15 (05C30)},
	MRNUMBER = {3268642},
	MRREVIEWER = {Sen-Peng Eu},
	DOI = {10.1007/s00373-013-1357-1},
	URL = {https://doi.org/10.1007/s00373-013-1357-1},
}


@incollection {FGD,
	AUTHOR = {Flajolet, Philippe and Gourdon, Xavier and Dumas, Philippe},
	TITLE = {Mellin transforms and asymptotics: harmonic sums},
	NOTE_notused = {Special volume on mathematical analysis of algorithms},
	JOURNAL = {Theoret. Comput. Sci.},
	FJOURNAL = {Theoretical Computer Science},
	VOLUME = {144},
	YEAR = {1995},
	NUMBER = {1-2},
	PAGES = {3--58},
	ISSN = {0304-3975},
	MRCLASS = {68Q25 (44A15 68P05)},
	MRNUMBER = {1337752},
	MRREVIEWER = {Peter Kirschenhofer},
	DOI = {10.1016/0304-3975(95)00002-E},
	URL = {https://doi.org/10.1016/0304-3975(95)00002-E},
}





 
@article {FlOd90,
	AUTHOR = {Flajolet, Philippe and Odlyzko, Andrew},
	TITLE = {Singularity analysis of generating functions},
	JOURNAL = {SIAM J. Discrete Math.},
	FJOURNAL = {SIAM Journal on Discrete Mathematics},
	VOLUME = {3},
	YEAR = {1990},
	NUMBER = {2},
	PAGES = {216--240},
	ISSN = {0895-4801},
	MRCLASS = {05A15 (30E20 40E05 41A60)},
	MRNUMBER = {1039294},
	MRREVIEWER = {E. Rodney Canfield},
	DOI = {10.1137/0403019},
	URL = {https://doi.org/10.1137/0403019},
}



@article {FRV,
	AUTHOR = {Flajolet, Philippe and Raoult, Jean-Claude and Vuillemin, Jean},
	TITLE = {The number of registers required for evaluating arithmetic
	expressions},
	JOURNAL = {Theoret. Comput. Sci.},
	FJOURNAL = {Theoretical Computer Science},
	VOLUME = {9},
	YEAR = {1979},
	NUMBER = {1},
	PAGES = {99--125},
	ISSN = {0304-3975},
	MRCLASS = {68C25 (05C05)},
	MRNUMBER = {535127},
	DOI = {10.1016/0304-3975(79)90009-4},
	URL = {https://doi.org/10.1016/0304-3975(79)90009-4},
}


@book {FS,
	AUTHOR = {Flajolet, Philippe and Sedgewick, Robert},
	TITLE = {{Analytic Combinatorics}},
	PUBLISHER = {Cambridge University Press},
	YEAR = {2009},
	PAGES = {xiv+810},
	ISBN = {978-0-521-89806-5},
	MRCLASS = {05-02 (05A15 05A16 60C05 60E10 82-01)},
	MRNUMBER = {2483235},
	DOI = {10.1017/CBO9780511801655},
	URL = {https://doi.org/10.1017/CBO9780511801655},
}


@article {FP,
	AUTHOR = {Flajolet, Philippe and Prodinger, Helmut},
	TITLE = {Level number sequences for trees},
	JOURNAL = {Discrete Math.},
	FJOURNAL = {Discrete Mathematics},
	VOLUME = {65},
	YEAR = {1987},
	NUMBER = {2},
	PAGES = {149--156},
	ISSN = {0012-365X},
	MRCLASS = {05C05 (68R10)},
	MRNUMBER = {893076},
	MRREVIEWER = {R. E. Pippert},
	DOI = {10.1016/0012-365X(87)90137-3},
	URL = {https://doi.org/10.1016/0012-365X(87)90137-3},
}

@article {FlPr86,
	AUTHOR = {Flajolet, Philippe and Prodinger, Helmut},
	TITLE = {Register allocation for unary-binary trees},
	JOURNAL = {SIAM J. Comput.},
	FJOURNAL = {SIAM Journal on Computing},
	VOLUME = {15},
	YEAR = {1986},
	NUMBER = {3},
	PAGES = {629--640},
	ISSN = {0097-5397},
	MRCLASS = {68Q25 (05A15 68R05)},
	MRNUMBER = {850413},
	DOI = {10.1137/0215046},
	URL = {https://doi.org/10.1137/0215046},
}

 
@book {GKP,
	AUTHOR = {Graham, Ronald L. and Knuth, Donald E. and Patashnik, Oren},
	TITLE = {{Concrete Mathematics}},
	EDITION = {Second},
	NOTE_notused = {A foundation for computer science},
	PUBLISHER = {Addison-Wesley},
	YEAR = {1994},
	PAGES = {xiv+657},
	ISBN = {0-201-55802-5},
	MRCLASS = {68-01 (00-01 00A05 05-01 68Rxx)},
	MRNUMBER = {1397498},
	MRREVIEWER = {Volker Strehl},
	url={http://dx.doi.org/10.2307/3617572},
doi={10.2307/3617572},
}


@article {Gutjahr,
	AUTHOR = {Gutjahr, Walter and Pflug, Georg C.},
	TITLE = {The asymptotic distribution of leaf heights in binary trees},
	JOURNAL = {Graphs Combin.},
	FJOURNAL = {Graphs and Combinatorics},
	VOLUME = {8},
	YEAR = {1992},
	NUMBER = {3},
	PAGES = {243--251},
	ISSN = {0911-0119},
	MRCLASS = {05C05 (05A16)},
	MRNUMBER = {1185403},
	MRREVIEWER = {Edward A. Bender},
	DOI = {10.1007/BF02349961},
	URL = {https://doi.org/10.1007/BF02349961},
}


@article{HHP,
	doi = {10.4230/LIPICS.AOFA.2018.26},
	url = {http://drops.dagstuhl.de/opus/volltexte/2018/8919/},
	author = {Hackl, Benjamin and Heuberger, Clemens and Prodinger, Helmut},
	keywords = {Computer Science, 000 Computer science, knowledge, general works},
	language = {en},
	title = {Counting Ascents in Generalized {D}yck Paths},
	publisher = {Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany},
	year = {2018}
}



@article {Hara,
	AUTHOR = {Harary, Frank and Read, Ronald C.},
	TITLE = {The enumeration of tree-like polyhexes},
	JOURNAL = {Proc. Edinburgh Math. Soc. (2)},
	FJOURNAL = {Proceedings of the Edinburgh Mathematical Society. Series II},
	VOLUME = {17},
	YEAR = {1970},
	PAGES = {1--13},
	ISSN = {0013-0915},
	MRCLASS = {05.65},
	MRNUMBER = {284379},
	MRREVIEWER = {E. M. Palmer},
	DOI = {10.1017/S0013091500009135},
	URL = {https://doi.org/10.1017/S0013091500009135},
}



@article {HPW,
	AUTHOR = {Heuberger, Clemens and Prodinger, Helmut and Wagner, Stephan},
	TITLE = {The height of multiple edge plane trees},
	JOURNAL = {Aequationes Math.},
	FJOURNAL = {Aequationes Mathematicae},
	VOLUME = {90},
	YEAR = {2016},
	NUMBER = {3},
	PAGES = {625--645},
	ISSN = {0001-9054},
	MRCLASS = {05A16 (05A15 05C05 60C05)},
	MRNUMBER = {3500212},
	MRREVIEWER = {Bernhard Gittenberger},
	DOI = {10.1007/s00010-015-0380-0},
	URL = {https://doi.org/10.1007/s00010-015-0380-0},
}



 
@article {Kemp-oscillations,
	AUTHOR = {Kemp, Rainer},
	TITLE = {On the average oscillation of a stack},
	JOURNAL = {Combinatorica},
	FJOURNAL = {Combinatorica. An International Journal of the J\'{a}nos Bolyai
	Mathematical Society},
	VOLUME = {2},
	YEAR = {1982},
	NUMBER = {2},
	PAGES = {157--176},
	ISSN = {0209-9683},
	MRCLASS = {68E10 (05C05 05C30)},
	MRNUMBER = {685043},
	DOI = {10.1007/BF02579315},
	URL = {https://doi.org/10.1007/BF02579315},
}





@article {KimStanley,
	AUTHOR = {Kim, Hana and Stanley, Richard P.},
	TITLE = {A refined enumeration of hex trees and related polynomials},
	JOURNAL = {European J. Combin.},
	FJOURNAL = {European Journal of Combinatorics},
	VOLUME = {54},
	YEAR = {2016},
	PAGES = {207--219},
	ISSN = {0195-6698},
	MRCLASS = {05A15 (05C30)},
	MRNUMBER = {3459065},
	MRREVIEWER = {Zhicong Lin},
	DOI = {10.1016/j.ejc.2016.01.001},
	URL = {https://doi.org/10.1016/j.ejc.2016.01.001},
}

@article {Kirschen-leaves,
	AUTHOR = {Kirschenhofer, Peter},
	TITLE = {On the height of leaves in binary trees},
	JOURNAL = {J. Combin. Inform. System Sci.},
	FJOURNAL = {Journal of Combinatorics, Information \& System Sciences},
	VOLUME = {8},
	YEAR = {1983},
	NUMBER = {1},
	PAGES = {44--60},
	ISSN = {0250-9628},
	MRCLASS = {05C05 (05A15)},
	MRNUMBER = {783737},
	MRREVIEWER = {D. A. Klarner},
        url={https://zbmath.org/0629.05031},	
}

@article {KP-hyper,
	AUTHOR = {Kirschenhofer, Peter and Prodinger, Helmut},
	TITLE = {On the average hyperoscillations of planted plane trees},
	JOURNAL = {Combinatorica},
	FJOURNAL = {Combinatorica. An International Journal of the J\'{a}nos Bolyai
	Mathematical Society},
	VOLUME = {2},
	YEAR = {1982},
	NUMBER = {2},
	PAGES = {177--186},
	ISSN = {0209-9683},
	MRCLASS = {68E10 (05C05 05C30)},
	MRNUMBER = {685044},
	DOI = {10.1007/BF02579316},
	URL = {https://doi.org/10.1007/BF02579316},
}



@incollection {Krattenthaler-survey,
	AUTHOR = {Krattenthaler, Christian},
	TITLE = {Lattice path enumeration},
	BOOKTITLE = {{Handbook of Enumerative Combinatorics}},
	SERIES = {Discrete Math. Appl.},
	PAGES = {589--678},
	PUBLISHER = {CRC Press},
	YEAR = {2015},
	MRCLASS = {05A15},
	MRNUMBER = {3409351},
	url={https://doi.org/10.1201/b18255},
doi={10.1201/b18255},
}

 
@book {Mohanty,
	AUTHOR = {Mohanty, Sri Gopal},
	TITLE = {{Lattice Path Counting and Applications}},
	SERIES_notused = {Probability and Mathematical Statistics},
	PUBLISHER = {Academic Press [Harcourt Brace Jovanovich, Publishers]},
	YEAR = {1979},
	PAGES = {xi+185},
	ISBN = {0-12-504050-4},
	MRCLASS = {60C05 (05-02 60J15 62G10)},
	MRNUMBER = {554084},
	MRREVIEWER = {Endre Cs\'{a}ki},
url={https://shop.elsevier.com/books/lattice-path-counting-and-applications/birnbaum/978-0-12-504050-1},
}

@book {Narayana,
	AUTHOR = {Narayana, Tadepalli V.},
	TITLE = {{Lattice Path Combinatorics with Statistical Applications}},
	SERIES = {Mathematical Expositions, No. 23},
	PUBLISHER = {University of Toronto Press},
	YEAR = {1979},
	PAGES = {xii+106},
	ISBN = {0-8020-5406-6},
	MRCLASS = {60C05 (05-02 60J15 62G10)},
	MRNUMBER = {530551},
	MRREVIEWER = {I. Vincze},
url=	{https://doi.org/10.3138/9781487582586},
	doi=	{10.3138/9781487582586},
}




@article {PP1,
	AUTHOR = {Panholzer, Alois and Prodinger, Helmut},
	TITLE = {Descendants and ascendants in binary trees},
	JOURNAL = {Discrete Math. Theor. Comput. Sci.},
	FJOURNAL = {Discrete Mathematics and Theoretical Computer Science},
	VOLUME = {1},
	YEAR = {1997},
	NUMBER = {1},
	PAGES = {247--266},
	ISSN = {1365-8050},
	MRCLASS = {68P05 (05C05)},
	MRNUMBER = {1605042},
	url={https://doi.org/10.46298/dmtcs.246},
		doi={10.46298/dmtcs.246}
}



@article {PP2,
	AUTHOR = {Panholzer, Alois and Prodinger, Helmut},
	TITLE = {Moments of level numbers of leaves in binary trees},
	NOTE = {Special issue dedicated to the conference Lattice Path Combinatorics and Applications
	(Vienna, 1998)},
	JOURNAL = {J. Statist. Plann. Inference},
	FJOURNAL = {Journal of Statistical Planning and Inference},
	VOLUME = {101},
	YEAR = {2002},
	NUMBER = {1-2},
	PAGES = {267--279},
	ISSN = {0378-3758},
	MRCLASS = {60C05 (05A15 05C05)},
	MRNUMBER = {1878864},
	DOI = {10.1016/S0378-3758(01)00187-2},
	URL = {https://doi.org/10.1016/S0378-3758(01)00187-2},
}

@incollection {Prodinger-handbook,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {Analytic methods},
	BOOKTITLE = {{Handbook of Enumerative Combinatorics}},
	SERIES = {Discrete Math. Appl.},
	PAGES = {173--252},
	PUBLISHER = {CRC Press},
	YEAR = {2015},
	MRCLASS = {05A15},
	MRNUMBER = {3409343},
		url={https://doi.org/10.1201/b18255},
	doi={10.1201/b18255},
}



@article{jcmcc,
	doi = {10.48550/ARXIV.1912.06930},
	url = {https://arxiv.org/abs/1912.06930},
	author = {Prodinger, Helmut},
	keywords = {Combinatorics (math.CO), FOS: Mathematics, FOS: Mathematics},
	title = {On $k$-{D}yck paths with a negative boundary},
        fjournal={Journal of Combinatorial Mathematics and Combinatorial Computing},
        journal={J. Comb. Math. Comb. Comput.},
        note={To appear},
	year = {2023},
}



 
@article{EATCS,
	author = {Prodinger, Helmut},
	title = {Some analytic techniques for the investigation of the asymptotic behaviour of tree parameters},
	journal = {EATCS Bulletin},
	year = {1992},
	pages = {180--199},
url={https://www.math.tugraz.at/~prodinger/summer.ps},
}



@article{Prodinger-hex,
	doi = {10.48550/ARXIV.2106.14782},
	url = {https://arxiv.org/abs/2106.14782},
	author = {Prodinger, Helmut},
	keywords = {Combinatorics (math.CO), FOS: Mathematics, FOS: Mathematics},
	title = {Weighted unary-binary trees, Hex-trees, marked ordered trees, and related structures},
	journal = {arXiv},
	year = {2021},
}

@article {naimi-paper,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {On some problems about ternary paths: a linear algebra
	approach},
	JOURNAL = {Rocky Mountain J. Math.},
	FJOURNAL = {The Rocky Mountain Journal of Mathematics},
	VOLUME = {51},
	YEAR = {2021},
	NUMBER = {2},
	PAGES = {709--720},
	ISSN = {0035-7596},
	MRCLASS = {05A15},
	MRNUMBER = {4278739},
	MRREVIEWER = {Nik Lygeros},
	DOI = {10.1216/rmj.2021.51.709},
	URL = {https://doi.org/10.1216/rmj.2021.51.709},
}


@article {Prodinger-kernel,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {The kernel method: a collection of examples},
	JOURNAL = {S\'{e}m. Lothar. Combin.},
	FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire},
	VOLUME = {50},
	YEAR = {2003/04},
	PAGES = {Art. B50f, 19},
	MRCLASS = {05A15 (60C05 60G50)},
	MRNUMBER = {2079850},
	MRREVIEWER = {Marko Petkov\v{s}ek},
url={https://www.mat.univie.ac.at/~slc/wpapers/s50proding.pdf},	
}


@article {ECA-historic,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {Philippe {F}lajolet's early work in combinatorics},
	JOURNAL = {Enumer. Comb. Appl.},
	FJOURNAL = {Enumerative Combinatorics and Applications},
	VOLUME = {2},
	YEAR = {2022},
	NUMBER = {1},
	PAGES = {Paper No. S1H1, 11},
	MRCLASS = {05A15 (01A70 05A16 11B83 68P05)},
	MRNUMBER = {4416824},
	DOI = {10.54550/eca2022v2s1h1},
	URL = {https://doi.org/10.54550/eca2022v2s1h1},
}



 

@misc{register-introduction,
	author = {Helmut Prodinger},
	title = {Introduction to {P}hilippe {F}lajolet's work on the register function and related topics},
	URL = {https://www.math.tugraz.at/~prodinger/flajolet-introduction-register.pdf}, 
	year = {Chapter introduction, \textit{Collected Works of Philippe Flajolet}, to appear}
}


@article {Prodinger-ars,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {The height of planted plane trees revisited},
	JOURNAL = {Ars Combin.},
	FJOURNAL = {Ars Combinatoria},
	VOLUME = {16},
	YEAR = {1983},
	NUMBER = {B},
	PAGES = {51--55},
	ISSN = {0381-7032},
	MRCLASS = {05C05},
	MRNUMBER = {737109},
	MRREVIEWER = {J. W. Moon},
}


@article {Prodinger-three,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {The average height of a stack where three operations are
	allowed and some related problems},
	JOURNAL = {J. Combin. Inform. System Sci.},
	FJOURNAL = {Journal of Combinatorics, Information \& System Sciences},
	VOLUME = {5},
	YEAR = {1980},
	NUMBER = {4},
	PAGES = {287--304},
	ISSN = {0250-9628},
	MRCLASS = {05A15 (05A99 68E99)},
	MRNUMBER = {609817},
	MRREVIEWER = {Henry S. Warren, Jr.},
url={https://www.math.tugraz.at/~prodinger/three_operations.pdf},
}






@article {Deutsch1,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {Deutsch paths and their enumeration},
	JOURNAL = {Open J. Discrete Appl. Math.},
	FJOURNAL = {Open Journal of Discrete Applied Mathematics. ODAM},
	VOLUME = {4},
	YEAR = {2021},
	NUMBER = {1},
	PAGES = {12--18},
	ISSN = {2617-9679},
	MRCLASS = {05A15 (05A19)},
	MRNUMBER = {4244357},
	MRREVIEWER = {Nik Lygeros},
url=	{DOI: 10.30538/psrp-odam2021.0049},
	doi=	{10.30538/psrp-odam2021.0049},
}

 
@article {Deutsch-ternary,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {Generating functions for a lattice path model introduced by
	{D}eutsch},
	JOURNAL = {Spec. Matrices},
	FJOURNAL = {Special Matrices},
	VOLUME = {9},
	YEAR = {2021},
	PAGES = {217--225},
	MRCLASS = {05A15 (15B36)},
	MRNUMBER = {4241491},
	DOI = {10.1515/spma-2020-0133},
	URL = {https://doi.org/10.1515/spma-2020-0133},
}



@article {Prodinger-Retakh,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {Retakh's {M}otzkin paths and some combinatorial comments},
	JOURNAL = {Enumer. Comb. Appl.},
	FJOURNAL = {Enumerative Combinatorics and Applications},
	VOLUME = {1},
	YEAR = {2021},
	NUMBER = {1},
	PAGES = {Paper No. S2R4, 5},
	MRCLASS = {05A15 (05A16)},
	MRNUMBER = {4398549},
	DOI = {10.54550/eca},
	URL = {https://doi.org/10.54550/eca},
}

@article {Deutsch-slice,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {Enumeration of {D}eutsch paths by the adding-a-new-slice
	method and applications},
	JOURNAL = {Matimy\'{a}s Mat.},
	FJOURNAL = {Matimy\'{a}s Matematika},
	VOLUME = {44},
	YEAR = {2021},
	NUMBER = {1},
	PAGES = {15--22},
	ISSN = {0115-6926},
	MRCLASS = {05A15 (05A10)},
	MRNUMBER = {4284622},
	MRREVIEWER = {David Callan},
url={https://arxiv.org/pdf/2006.00565},
}


@article {Prodinger-fibo,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {Nondecreasing {D}eutsch paths},
	JOURNAL = {Fibonacci Quart.},
	FJOURNAL = {The Fibonacci Quarterly. The Official Journal of the Fibonacci
	Association},
	VOLUME = {59},
	YEAR = {2021},
	NUMBER = {3},
	PAGES = {232--236},
	ISSN = {0015-0517},
	MRCLASS = {05A15 (11A55)},
	MRNUMBER = {4316958},
	MRREVIEWER = {Henri-Alex Esbelin},
url={https://arxiv.org/pdf/2005.03732},
}


@article {bulgar,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {The amplitude of {M}otzkin paths},
	JOURNAL = {Notes  Number Theory   Discrete Math.},
        fjournal={Notes on Number Theory and Discrete Mathematics},
	VOLUME = {28},
	YEAR = {2022},
	PAGES = {41--47},
url={https://doi.org/10.7546/nntdm.2022.28.1.41-47},
doi={10.7546/nntdm.2022.28.1.41-47},
}



@article {Privatdozent,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {Counting ternary trees according to the number of middle edges
	and factorizing into {$(3/2)$}-ary trees},
	JOURNAL = {Asian-Eur. J. Math.},
	FJOURNAL = {Asian-European Journal of Mathematics},
	VOLUME = {15},
	YEAR = {2022},
	NUMBER = {11},
	PAGES = {Paper No. 2250187, 5},
	ISSN = {1793-5571},
	MRCLASS = {05A15 (05A16)},
	MRNUMBER = {4498519},
	DOI = {10.1142/S179355712250187X},
	URL = {https://doi.org/10.1142/S179355712250187X},
}



@article {Prodinger-pockets,
	AUTHOR = {Prodinger, Helmut},
	TITLE = {Partial {D}yck paths with air pockets},
	JOURNAL = {Integers},
	FJOURNAL = {Integers. Electronic Journal of Combinatorial Number Theory},
	VOLUME = {22},
	YEAR = {2022},
	PAGES = {Paper No. A94, 8},
	MRCLASS = {05A15},
	MRNUMBER = {4491584},
	DOI = {10.1515/advgeom-2021-0034},
	URL = {https://doi.org/10.1515/advgeom-2021-0034},
}



@article {Qing,
	AUTHOR = {Lu, Qing Lin},
	TITLE = {Skew {M}otzkin paths},
	JOURNAL = {Acta Math. Sin. (Engl. Ser.)},
	FJOURNAL = {Acta Mathematica Sinica (English Series)},
	VOLUME = {33},
	YEAR = {2017},
	NUMBER = {5},
	PAGES = {657--667},
	ISSN = {1439-8516},
	MRCLASS = {05A15},
	MRNUMBER = {3633808},
	MRREVIEWER = {Sherry H. F. Yan},
	DOI = {10.1007/s10114-016-5292-y},
	URL = {https://doi.org/10.1007/s10114-016-5292-y},
}

@article{EZ,
	doi = {10.48550/ARXIV.2006.01961},
	url = {https://arxiv.org/abs/2006.01961},
	author = {Ekhad, Shalosh B. and Zeilberger, Doron},
	keywords = {Combinatorics (math.CO), FOS: Mathematics, FOS: Mathematics},
	title = {Automatic Counting of Restricted {D}yck Paths via (Numeric and Symbolic) Dynamic Programming},
	journal = {arXiv},
	year = {2020},
	copyright = {arXiv.org perpetual, non-exclusive license}
}




@mastersthesis{Selkirk-master,
	author  = "Sarah~J. Selkirk",
	title   = "On a generalisation of $k$-{D}yck paths.",
	school  = "Stellenbosch	University",
	year    = "2019",
url={https://scholar.sun.ac.za/handle/10019.1/107091},
}

 
@misc{OEIS,
	author={Sloane, Neil J. A. and The OEIS Foundation Inc.},
	title={{The On-Line Encyclopedia of Integer Sequences}},
	year={2023},
	url={http://oeis.org/?language=english},
}

.