A133734 A000012 * A002865 as a diagonalized matrix.

1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 4, 1, 0, 1, 1, 2, 2, 4, 4, 1, 0, 1, 1, 2, 2, 4, 4, 7, 1, 0, 1, 1, 2, 2, 4, 4, 7, 8

Offset

0,15

Comments

Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15, ...).

Links

Table of n, a(n) for n=0..54.

Formula

A000012 * A002865 as a diagonalized matrix, the latter = an infinite lower triangular matrix with A002865: (1, 0, 1, 1, 2, 2, 4, 4, 7, 8, ...) as the main diagonal and the rest zeros. Triangle read by rows, n-th row = first (n+1) terms of A002865.

Example

First few rows of the triangle:
  1;
  1, 0;
  1, 0, 1;
  1, 0, 1, 1;
  1, 0, 1, 1, 2;
  1, 0, 1, 1, 2, 2;
  1, 0, 1, 1, 2, 2, 4;
  1, 0, 1, 1, 2, 2, 4, 4;
  1, 0, 1, 1, 2, 2, 4, 4, 7;
  ...

Crossrefs

Cf. A000041, A002865.

Sequence in context: A324796 A049455 A322975 * A353315 A344164 A109702

Adjacent sequences: A133731 A133732 A133733 * A133735 A133736 A133737

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 22 2007

Status

approved