A137649 Triangle read by rows, A000012 * A008277.

1, 2, 1, 3, 4, 1, 4, 11, 7, 1, 5, 26, 32, 11, 1, 6, 57, 122, 76, 16, 1, 7, 120, 423, 426, 156, 22, 1, 8, 247, 1389, 2127, 1206, 288, 29, 1, 9, 502, 4414, 9897, 8157, 2934, 491, 37, 1, 10, 1013, 13744, 44002, 50682, 25761, 6371, 787, 46, 1

Offset

1,2

Comments

Row sums = A024716: (1, 3, 8, 23, 75, 278, ...).

A137650 = A008277 * A000012.

Links

Table of n, a(n) for n=1..55.

Formula

A000012 * A008277 (Stirling2 triangle) as infinite lower triangular matrices. Partial column sums of A008277.

Example

First few rows of the triangle:
  1;
  2,   1;
  3,   4,   1;
  4,  11,   7,   1;
  5,  26,  32,  11,   1;
  6,  57, 122,  76,  16,  1;
  7, 120, 423, 426, 156, 22, 1;
  ...
Row 4 = (4, 11, 7, 1) = partial column sums of the first 4 rows of A008277:
  1;
  1, 1;
  1, 3, 1;
  1, 7, 6, 1;
  ...

Crossrefs

Cf. A024716, A008277, A137650.

Sequence in context: A198060 A327084 A159856 * A180915 A240783 A327083

Adjacent sequences: A137646 A137647 A137648 * A137650 A137651 A137652

Keyword

nonn,tabl

Author

Gary W. Adamson, Feb 01 2008

Status

approved