A291084 Irregular triangle read by rows: T(n,m) = number of lattice paths of type {B^H}_R terminating at point (n, m).

1, 2, 1, 1, 8, 6, 5, 2, 1, 38, 33, 27, 16, 9, 3, 1, 196, 180, 150, 104, 65, 32, 14, 4, 1, 1052, 990, 845, 635, 430, 251, 130, 55, 20, 5, 1, 5774, 5502, 4797, 3786, 2721, 1752, 1016, 516, 231, 86, 27, 6, 1, 32146, 30863, 27377, 22344, 16793, 11543, 7252, 4117, 2107, 952, 378, 126, 35, 7, 1

Offset

0,2

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,
2,1,1,
8,6,5,2,1,
38,33,27,16,9,3,1,
196,180,150,104,65,32,14,4,1,
1052,990,845,635,430,251,130,55,20,5,1,
5774,5502,4797,3786,2721,1752,1016,516,231,86,27,6,1,
32146,30863,27377,22344,16793,11543,7252,4117,2107,952,378,126,35,7,1,
...

Crossrefs

First column is A291088.

Sequence in context: A329070 A157785 A021476 * A229922 A051428 A176698

Adjacent sequences: A291081 A291082 A291083 * A291085 A291086 A291087

Keyword

nonn,tabf

Author

N. J. A. Sloane, Aug 19 2017

Status

approved