cp's OEIS Frontend

A291082 Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^Q}_R terminating at point (n, m).

%I A291082 #17 Oct 05 2024 13:56:54
%S A291082 1,2,2,1,9,12,9,4,1,51,76,69,44,20,6,1,323,512,518,392,230,104,35,8,1,
%T A291082 2188,3610,3915,3288,2235,1242,560,200,54,10,1,15511,26324,29964,
%U A291082 27016,20240,12804,6853,3080,1143,340,77,12,1,113634,196938,232323,220584,177177,122694,73710,38376,17199,6552,2079,532,104,14,1
%N A291082 Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^Q}_R terminating at point (n, m).
%H A291082 Rezig Boualam and Moussa Ahmia, <a href="https://arxiv.org/abs/2409.18886">Log-concavity and strong q-log-convexity for some generalized triangular arrays</a>, arXiv:2409.18886 [math.CO], 2024. See pp. 3,6.
%H A291082 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 A291082 Triangle begins:
%e A291082   1;
%e A291082   2,2,1;
%e A291082   9,12,9,4,1;
%e A291082   51,76,69,44,20,6,1;
%e A291082   323,512,518,392,230,104,35,8,1;
%e A291082   2188,3610,3915,3288,2235,1242,560,200,54,10,1;
%e A291082   15511,26324,29964,27016,20240,12804,6853,3080,1143,340,77,12,1;
%e A291082   113634,196938,232323,220584,177177,122694,73710,38376,17199,6552,2079,532,104,14,1;
%e A291082   ...
%Y A291082 First column is A026945.
%K A291082 nonn,tabf
%O A291082 0,2
%A A291082 _N. J. A. Sloane_, Aug 19 2017