A174715 Triangle read by rows, Q*M as infinite lower triangular matrices. Q = A001935 shifted down four times by columns, M = A174712.

1, 1, 2, 3, 4, 1, 6, 1, 9, 2, 12, 3, 16, 4, 2, 22, 6, 2, 29, 9, 4, 38, 12, 6, 50, 16, 8, 3, 64, 22, 12, 3, 82, 29, 18, 6

Offset

0,3

Comments

Row sums = A000041, the partition numbers.

Refer to comments in A174713.

Links

Table of n, a(n) for n=0..35.

Formula

As an irregular triangle generated from a product Q*M of infinite lower triangular matrices: Q = A001935 in every column (except column 0), shifted down four times from the previous column. M = A174712, the diagonalized variant of A000041 (the partition numbers as the right border, and the rest zeros.)

Example

First few rows of the triangle =
  1;
  1;
  2;
  3;
  4, 1;
  6, 1;
  9, 2;
  12, 3;
  16, 4, 2;
  22, 6, 2;
  29, 9, 4;
  38, 12, 6;
  50, 16, 8, 3;
  64, 22, 12, 3;
  82, 29, 18, 6;
  ...

Crossrefs

Cf. A174712, A174712, A174713, A174714

Sequence in context: A065331 A066262 A195989 * A069817 A071439 A100941

Adjacent sequences: A174712 A174713 A174714 * A174716 A174717 A174718

Keyword

nonn,tabf,uned

Author

Gary W. Adamson, Mar 27 2010

Status

approved