A259341 Triangle read by rows: number of balanced twills with 2n harnesses and maximum float length k (1 <= k <= n).

1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 4, 5, 2, 1, 1, 9, 13, 8, 3, 1, 1, 14, 33, 22, 11, 3, 1, 1, 30, 91, 77, 38, 15, 4, 1, 1, 53, 250, 246, 137, 54, 19, 4, 1, 1, 114, 719, 852, 501, 222, 79, 24, 5, 1

Offset: 1

Author

N. J. A. Sloane, Jun 27 2015

Keywords

• nonn
• tabl

Examples

			Triangle begins:
  1;
  1,   1;
  1,   1,   1;
  1,   3,   2,   1;
  1,   4,   5,   2,   1;
  1,   9,  13,   8,   3,   1;
  1,  14,  33,  22,  11,   3,  1;
  1,  30,  91,  77,  38,  15,  4,  1;
  1,  53, 250, 246, 137,  54, 19,  4, 1;
  1, 114, 719, 852, 501, 222, 79, 24, 5, 1;
  ...
		

References

• J. A. Hoskins, C. E. Praeger and A. P. Street, Balanced twills with bounded float length, Congress. Numerantium, 40 (1983), 77-89.

Links

• Janet Anne Hoskins, Isonemal arrays and textile computer graphics, Thesis, 1985. See p. 50.
• J. A. Hoskins, C. E. Praeger and A. P. Street, Balanced twills with bounded float length, Congress. Numerantium, 40 (1983), 77-89. (Annotated scanned copy)

Crossrefs

Row sums are A006840.