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A291085 Irregular triangle read by rows: T(n,m) = number of lattice paths of type B^H terminating at point (n, m).

%I A291085 #15 Aug 19 2017 09:56:38
%S A291085 1,1,4,4,2,1,20,19,13,8,3,1,104,98,76,52,28,13,4,1,556,526,434,319,
%T A291085 201,111,50,19,5,1,3032,2887,2470,1910,1316,811,436,205,80,26,6,1,
%U A291085 16778,16073,14085,11304,8259,5489,3284,1763,833,344,119,34,7,1,93872,90386,80584,66514,50680,35588,22912,13476,7176,3437,1456,539,168,43,8,1
%N A291085 Irregular triangle read by rows: T(n,m) = number of lattice paths of type B^H terminating at point (n, m).
%H A291085 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 A291085 Triangle begins:
%e A291085 1,1,
%e A291085 4,4,2,1,
%e A291085 20,19,13,8,3,1,
%e A291085 104,98,76,52,28,13,4,1,
%e A291085 556,526,434,319,201,111,50,19,5,1,
%e A291085 3032,2887,2470,1910,1316,811,436,205,80,26,6,1,
%e A291085 16778,16073,14085,11304,8259,5489,3284,1763,833,344,119,34,7,1,
%e A291085 93872,90386,80584,66514,50680,35588,22912,13476,7176,3437,1456,539,168,43,8,1,
%e A291085 ...
%Y A291085 First column is A291089.
%K A291085 nonn,tabf
%O A291085 0,3
%A A291085 _N. J. A. Sloane_, Aug 19 2017