A137586 Triangle read by rows: A026794 * A054525.

1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 3, 1, 0, 0, 1, 5, 1, 0, 0, 0, 1, 7, 2, 1, 0, 0, 0, 1, 10, 3, 1, 0, 0, 0, 0, 1, 16, 3, 1, 1, 0, 0, 0, 0, 1, 21, 5, 2, 1, 0, 0, 0, 0, 0, 1, 29, 7, 3, 1, 1, 0, 0, 0, 0, 0, 1, 40, 10, 3, 1, 1, 0, 0, 0, 0, 0, 0, 1, 57, 11, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1

Offset

1,7

Comments

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

A137585 = A054525 * A026794.

Links

Table of n, a(n) for n=1..91.

Formula

A026794 * A054525, as infinite lower triangular matrices.

A026794 = the partition triangle, A054525 = the Mobius transform.

Example

First few rows of the triangle:
   1;
   0, 1;
   1, 0, 1;
   2, 0, 0, 1;
   3, 1, 0, 0, 1;
   5, 1, 0, 0, 0, 1;
   7, 2, 1, 0, 0, 0, 1;
  10, 3, 1, 0, 0, 0, 0, 1;
  16, 3, 1, 1, 0, 0, 0, 0, 1;
  ...

Crossrefs

Cf. A000041, A137585, A026794, A054525.

Sequence in context: A290430 A290429 A045847 * A291170 A275001 A290975

Adjacent sequences: A137583 A137584 A137585 * A137587 A137588 A137589

Keyword

nonn,tabl

Author

Gary W. Adamson, Jan 27 2008

Status

approved