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

0,3

Comments

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

Links

Table of n, a(n) for n=0..65.

Formula

Inverse binomial transform of A132813.

Example

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;
  ...

Prog

(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

Crossrefs

Cf. A132813, A005773.

Sequence in context: A344839 A344836 A323474 * A058623 A209689 A204329

Adjacent sequences: A132811 A132812 A132813 * A132815 A132816 A132817

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 01 2007

Extensions

More terms from Michel Marcus, Feb 12 2014

Status

approved