A371766 Triangle read by rows: T(n, k) = A371898(n, k) / A371767(n, k).

1, 1, 1, 1, 2, 1, 1, 5, 4, 1, 1, 16, 21, 7, 1, 1, 65, 142, 63, 11, 1, 1, 326, 1201, 709, 151, 16, 1, 1, 1957, 12336, 9709, 2521, 311, 22, 1, 1, 13700, 149989, 157971, 50045, 7186, 575, 29, 1, 1, 109601, 2113546, 2993467, 1158871, 193765, 17536, 981, 37, 1

Offset: 0

Author

Peter Luschny, Apr 14 2024

Keywords

• nonn
• tabl

Examples

			Triangle starts:
  [0] 1;
  [1] 1,     1;
  [2] 1,     2,      1;
  [3] 1,     5,      4,      1;
  [4] 1,    16,     21,      7,     1;
  [5] 1,    65,    142,     63,    11,    1;
  [6] 1,   326,   1201,    709,   151,   16,   1;
  [7] 1,  1957,  12336,   9709,  2521,  311,  22,  1;
  [8] 1, 13700, 149989, 157971, 50045, 7186, 575, 29, 1;
		

Crossrefs

Antidiagonally read subtriangle of A181783.

Cf. A371898, A371767.

Programs

Maple

A371766 := (n, k) -> local j; add((-1)^(k-j)*binomial(k, j)*hypergeom([1, -n],
[], -j), j = 0..k)/((k! * n!)/(n - k)!):
seq(print(seq(simplify(A371766(n, k)), k = 0..n)), n = 0..8);