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A291080 Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^H}_R terminating at point (n, m).

%I A291080 #15 Oct 05 2024 13:57:05
%S A291080 1,3,2,1,19,16,10,4,1,141,126,90,50,21,6,1,1107,1016,784,504,266,112,
%T A291080 36,8,1,8953,8350,6765,4740,2850,1452,615,210,55,10,1,73789,69576,
%U A291080 58278,43252,28314,16236,8074,3432,1221,352,78,12,1,616227,585690,502593,388752,270270,168168,93093,45474,19383,7098,2184,546,105,14,1
%N A291080 Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^H}_R terminating at point (n, m).
%H A291080 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 A291080 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 A291080 Triangle begins:
%e A291080   1;
%e A291080   3,2,1;
%e A291080   19,16,10,4,1;
%e A291080   141,126,90,50,21,6,1;
%e A291080   1107,1016,784,504,266,112,36,8,1;
%e A291080   8953,8350,6765,4740,2850,1452,615,210,55,10,1;
%e A291080   73789,69576,58278,43252,28314,16236,8074,3432,1221,352,78,12,1;
%e A291080   616227,585690,502593,388752,270270,168168,93093,45474,19383,7098,2184,546,105,14,1;
%e A291080   ...
%Y A291080 First column is A082758.
%K A291080 nonn,tabf
%O A291080 0,2
%A A291080 _N. J. A. Sloane_, Aug 19 2017