A137587 Triangle read by rows: A051731 * A026794.

1, 2, 1, 3, 0, 1, 5, 2, 0, 1, 6, 1, 0, 0, 1, 11, 3, 2, 0, 0, 1, 12, 2, 1, 0, 0, 0, 1, 20, 6, 1, 2, 0, 0, 0, 1, 25, 4, 3, 1, 0, 0, 0, 0, 1, 37, 9, 2, 1, 2, 0, 0, 0, 0, 1, 43, 8, 3, 1, 1, 0, 0, 0, 0, 0, 1, 70, 16, 6, 3, 1, 2, 0, 0, 0, 0, 0, 1

Offset

1,2

Comments

That is, regard A051731 and A026794 as lower triangular square matrices and multiply them, then take the lower triangle of the product,

Left column = A083710 starting (1, 2, 3, 5, 6, 11, 12, ...).

Row sums = A047968.

Links

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

Formula

Inverse mobius transform of the partition triangle, A026794.

Example

First few rows of the triangle:
   1;
   2, 1;
   3, 0, 1;
   5, 2, 0, 1;
   6, 1, 0, 0, 1;
  11, 3, 2, 0, 0, 1;
  12, 2, 1, 0, 0, 0, 1;
  20, 6, 1, 2, 0, 0, 0, 1;
  25, 4, 3, 1, 0, 0, 0, 0, 1;
  ...

Crossrefs

Cf. A026794, A051731, A083710, A047968.

Sequence in context: A195665 A096798 A158902 * A168021 A137639 A239631

Adjacent sequences: A137584 A137585 A137586 * A137588 A137589 A137590

Keyword

nonn,tabl

Author

Gary W. Adamson, Jan 27 2008

Extensions

Typo in 9th row corrected by M. F. Hasler, Jun 08 2009

Status

approved