A291086 Irregular triangle read by rows: T(n,m) = number of lattice paths of type {B^Q}_R terminating at point (n, m).

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

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 * A358449 A209329 A353156

Adjacent sequences: A291083 A291084 A291085 * A291087 A291088 A291089

Keyword

nonn,tabf

Author

N. J. A. Sloane, Aug 19 2017

Status

approved