A133110 Triangle read by rows: A007318 * A133109.

1, 1, 3, 1, 6, 4, 1, 9, 12, 5, 1, 12, 24, 20, 7, 1, 15, 40, 50, 35, 8, 1, 18, 60, 100, 105, 48, 9, 1, 21, 84, 175, 245, 168, 63, 11, 1, 24, 112, 280, 490, 448, 252, 88, 12, 1, 27, 144, 420, 882, 1008, 756, 396, 108, 13, 1, 30, 180, 600, 1470, 2016, 1890, 1320, 540, 130, 15, 1, 33, 220, 825, 2310, 3696, 4158, 3630, 1980, 715, 165, 16

Offset

1,3

Comments

Row sums = A100335: (1, 4, 11, 27, 64, 149, ...).

Links

Table of n, a(n) for n=1..78.

Formula

Binomial transform of A133109, as an infinite lower triangular matrix.

Example

First few rows of the triangle:
  1;
  1,  3;
  1,  6,  4;
  1,  9, 12,   5;
  1, 12, 24,  20,   7;
  1, 15, 40,  50,  35,  8;
  1, 18, 60, 100, 105, 48, 9;
  ...

Crossrefs

Cf. A007318, A100335, A133109.

Sequence in context: A070883 A120029 A201904 * A286158 A185915 A086270

Adjacent sequences: A133107 A133108 A133109 * A133111 A133112 A133113

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 12 2007

Extensions

a(50) corrected and more terms from Georg Fischer, Jun 01 2023

Status

approved