A291082 Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^Q}_R terminating at point (n, m).

1, 2, 2, 1, 9, 12, 9, 4, 1, 51, 76, 69, 44, 20, 6, 1, 323, 512, 518, 392, 230, 104, 35, 8, 1, 2188, 3610, 3915, 3288, 2235, 1242, 560, 200, 54, 10, 1, 15511, 26324, 29964, 27016, 20240, 12804, 6853, 3080, 1143, 340, 77, 12, 1, 113634, 196938, 232323, 220584, 177177, 122694, 73710, 38376, 17199, 6552, 2079, 532, 104, 14, 1

Offset: 0

Author

N. J. A. Sloane, Aug 19 2017

Keywords

• nonn
• tabf

Examples

			Triangle begins:
  1;
  2,2,1;
  9,12,9,4,1;
  51,76,69,44,20,6,1;
  323,512,518,392,230,104,35,8,1;
  2188,3610,3915,3288,2235,1242,560,200,54,10,1;
  15511,26324,29964,27016,20240,12804,6853,3080,1143,340,77,12,1;
  113634,196938,232323,220584,177177,122694,73710,38376,17199,6552,2079,532,104,14,1;
  ...
		

Links

• Rezig Boualam and Moussa Ahmia, Log-concavity and strong q-log-convexity for some generalized triangular arrays, arXiv:2409.18886 [math.CO], 2024. See pp. 3,6.
• Veronika Irvine, Lace Tessellations: A mathematical model for bobbin lace and an exhaustive combinatorial search for patterns, PhD Dissertation, University of Victoria, 2016.

Crossrefs

First column is A026945.