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Irregular triangle read by rows: T(n,m) = number of lattice paths of type {B^Q}_R terminating at point (n, m).
0

%I #16 Aug 19 2017 09:56:45

%S 1,1,1,1,3,4,4,2,1,11,17,18,13,8,3,1,46,76,85,72,51,28,13,4,1,207,355,

%T 415,384,300,196,110,50,19,5,1,977,1716,2076,2034,1705,1236,785,430,

%U 204,80,26,6,1,4769,8519,10584,10801,9541,7426,5145,3165,1729,826,343,119,34,7,1

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

%H 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 Triangle begins:

%e 1,

%e 1,1,1,

%e 3,4,4,2,1,

%e 11,17,18,13,8,3,1,

%e 46,76,85,72,51,28,13,4,1,

%e 207,355,415,384,300,196,110,50,19,5,1,

%e 977,1716,2076,2034,1705,1236,785,430,204,80,26,6,1,

%e 4769,8519,10584,10801,9541,7426,5145,3165,1729,826,343,119,34,7,1,

%e ...

%Y First column is A291090.

%K nonn,tabf

%O 0,5

%A _N. J. A. Sloane_, Aug 19 2017