A132816 Triangle read by rows: A007318^(-1) * A132812.

1, 1, 2, 0, 5, 3, 0, 3, 15, 4, 0, 0, 22, 34, 5, 0, 0, 10, 90, 65, 6, 0, 0, 0, 95, 270, 111, 7, 0, 0, 0, 35, 490, 665, 175, 8, 0, 0, 0, 0, 406, 1820, 1428, 260, 9, 0, 0, 0, 0, 126, 2520, 5460, 2772, 369, 10, 0, 0, 0, 0, 0, 1722, 11130, 14070, 4980, 505, 11, 0, 0, 0, 0, 0, 462, 12474, 39270, 32340, 8415, 671, 12

Offset

0,3

Comments

Row sums = A025566 starting (1, 3, 8, 22, 61, 171, 483, ...).

Links

Table of n, a(n) for n=0..77.

Formula

Inverse binomial transform of A132812.

Matrix product A130595 * A132812. - Georg Fischer, Jun 01 2023

Example

First few rows of the triangle:
  1;
  1, 2;
  0, 5,  3;
  0, 3, 15,  4;
  0, 0, 22, 34,   5;
  0, 0, 10, 90,  65,   6;
  0, 0,  0, 95, 270, 111, 7;
  ...

Crossrefs

Cf. A007318, A025566, A130595, A132812.

Sequence in context: A014842 A360559 A254708 * A261068 A077453 A216982

Adjacent sequences: A132813 A132814 A132815 * A132817 A132818 A132819

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 01 2007

Extensions

a(52) corrected and more terms from Georg Fischer, Jun 01 2023

Status

approved