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A291083 Irregular triangle read by rows: T(n,m) = number of lattice paths of type A^Q terminating at point (n, m). 0
1, 1, 4, 5, 3, 1, 21, 30, 25, 14, 5, 1, 127, 196, 189, 133, 70, 27, 7, 1, 835, 1353, 1422, 1140, 726, 369, 147, 44, 9, 1, 5798, 9713, 10813, 9438, 6765, 4037, 2002, 814, 264, 65, 11, 1, 41835, 71799, 83304, 77220, 60060, 39897, 22737, 11076, 4563, 1560, 429, 90, 13, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Andrei Asinowski, Axel Bacher, Cyril Banderier, Bernhard Gittenberger, Analytic combinatorics of lattice paths with forbidden patterns, the vectorial kernel method, and generating functions for pushdown automata, Laboratoire d'Informatique de Paris Nord (LIPN 2019).
EXAMPLE
Triangle begins:
1,1,
4,5,3,1,
21,30,25,14,5,1,
127,196,189,133,70,27,7,1,
835,1353,1422,1140,726,369,147,44,9,1,
5798,9713,10813,9438,6765,4037,2002,814,264,65,11,1,
41835,71799,83304,77220,60060,39897,22737,11076,4563,1560,429,90,13,1,
310572,542895,649845,630084,520455,373581,234780,129285,62127,25830,9163,2715,650,119,15,1,
...
CROSSREFS
First column is A099250.
Cf. A064189.
Sequence in context: A171870 A244144 A201337 * A114263 A094850 A163973
KEYWORD
nonn,tabf
AUTHOR
N. J. A. Sloane, Aug 19 2017
STATUS
approved

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Last modified May 22 10:24 EDT 2024. Contains 372745 sequences. (Running on oeis4.)