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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).

%I A291083 #20 Feb 24 2020 01:03:22
%S A291083 1,1,4,5,3,1,21,30,25,14,5,1,127,196,189,133,70,27,7,1,835,1353,1422,
%T A291083 1140,726,369,147,44,9,1,5798,9713,10813,9438,6765,4037,2002,814,264,
%U A291083 65,11,1,41835,71799,83304,77220,60060,39897,22737,11076,4563,1560,429,90,13,1
%N A291083 Irregular triangle read by rows: T(n,m) = number of lattice paths of type A^Q terminating at point (n, m).
%H A291083 Andrei Asinowski, Axel Bacher, Cyril Banderier, Bernhard Gittenberger, <a href="https://lipn.univ-paris13.fr/~banderier/Papers/patterns2019.pdf">Analytic combinatorics of lattice paths with forbidden patterns, the vectorial kernel method, and generating functions for pushdown automata</a>, Laboratoire d'Informatique de Paris Nord (LIPN 2019).
%H A291083 Veronika Irvine, <a href="http://hdl.handle.net/1828/7495">Lace Tessellations: A mathematical model for bobbin lace and an exhaustive combinatorial search for patterns</a>, PhD Dissertation, University of Victoria, 2016.
%e A291083 Triangle begins:
%e A291083 1,1,
%e A291083 4,5,3,1,
%e A291083 21,30,25,14,5,1,
%e A291083 127,196,189,133,70,27,7,1,
%e A291083 835,1353,1422,1140,726,369,147,44,9,1,
%e A291083 5798,9713,10813,9438,6765,4037,2002,814,264,65,11,1,
%e A291083 41835,71799,83304,77220,60060,39897,22737,11076,4563,1560,429,90,13,1,
%e A291083 310572,542895,649845,630084,520455,373581,234780,129285,62127,25830,9163,2715,650,119,15,1,
%e A291083 ...
%Y A291083 First column is A099250.
%Y A291083 Cf. A064189.
%K A291083 nonn,tabf
%O A291083 0,3
%A A291083 _N. J. A. Sloane_, Aug 19 2017