A132814 A007318^(-1) * A132813.

1, 0, 2, 0, 2, 3, 0, 0, 9, 4, 0, 0, 6, 24, 5, 0, 0, 0, 40, 50, 6, 0, 0, 0, 20, 150, 90, 7, 0, 0, 0, 0, 175, 420, 147, 8, 0, 0, 0, 0, 70, 840, 980, 224, 9, 0, 0, 0, 0, 0, 756, 2940, 2016, 324, 10, 0, 0, 0, 0, 0, 252, 4410, 8400, 3780, 450, 11

Offset: 0

Author

Gary W. Adamson, Sep 01 2007

Keywords

• nonn
• tabl

Comments

Row sums = A005773 starting (1, 2, 5, 13, 35, 96, ...).

Examples

			First few rows of the triangle:
  1;
  0, 2;
  0, 2, 3;
  0, 0, 9,  4;
  0, 0, 6, 24,   5;
  0, 0, 0, 40,  50,  6;
  0, 0, 0, 20, 150, 90, 7;
  ...
		

Crossrefs

Cf. A132813, A005773.

Programs

PARI

tabl(nn) = {t007318 = matrix(nn, nn, n, k, binomial(n-1, k-1)); t132813 = matrix(nn, nn, n, k, binomial(n-1, k-1)*binomial(n, k-1)); t132814 = t007318^(-1)*t132813; for (n=1, nn, for (k=1, n, print1(t132814[n, k], ", ");););} \\ Michel Marcus, Feb 12 2014

Formula

Inverse binomial transform of A132813.

Extensions

More terms from Michel Marcus, Feb 12 2014