

A291086


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


0



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, 415, 384, 300, 196, 110, 50, 19, 5, 1, 977, 1716, 2076, 2034, 1705, 1236, 785, 430, 204, 80, 26, 6, 1, 4769, 8519, 10584, 10801, 9541, 7426, 5145, 3165, 1729, 826, 343, 119, 34, 7, 1
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OFFSET

0,5


LINKS

Table of n, a(n) for n=0..63.
Veronika Irvine, Lace Tessellations: A mathematical model for bobbin lace and an exhaustive combinatorial search for patterns, PhD Dissertation, University of Victoria, 2016.


EXAMPLE

Triangle begins:
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,
207,355,415,384,300,196,110,50,19,5,1,
977,1716,2076,2034,1705,1236,785,430,204,80,26,6,1,
4769,8519,10584,10801,9541,7426,5145,3165,1729,826,343,119,34,7,1,
...


CROSSREFS

First column is A291090.
Sequence in context: A001009 A120650 A103121 * A209329 A081573 A106290
Adjacent sequences: A291083 A291084 A291085 * A291087 A291088 A291089


KEYWORD

nonn,tabf


AUTHOR

N. J. A. Sloane, Aug 19 2017


STATUS

approved



