A133571 (A007318 * A133080 + A133080 * A007318) - A007318.

1, 3, 1, 3, 2, 1, 5, 5, 5, 1, 5, 4, 10, 4, 1, 7, 9, 26, 14, 7, 1, 7, 6, 35, 20, 21, 6, 1, 9, 13, 71, 55, 71, 27, 9, 1, 9, 8, 84, 56, 126, 56, 36, 8, 1, 11, 17, 148, 140, 322, 182, 14844, 11, 1

Offset

1,2

Comments

Row sums = A133572: (1, 4, 6, 16, 24, 64, 96, 256, ...).

Links

Table of n, a(n) for n=1..54.

Formula

(A007318 * A133080 + A133080 * A007318) - A007318, as infinite lower triangular matrices, where A133080 is an interpolation operator.

Example

First few rows of the triangle:
  1;
  3,  1;
  3,  2,  1;
  5,  5,  5,  1;
  5,  4, 10,  4,  1;
  7,  9, 26, 14,  7,  1;
  7,  6, 35, 20, 21,  6,  1;
  9, 13, 71, 55, 71, 27,  9,  1;
  ...

Crossrefs

Cf. A133080, A133572.

Sequence in context: A243848 A271617 A057741 * A357059 A326420 A171899

Adjacent sequences: A133568 A133569 A133570 * A133572 A133573 A133574

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 16 2007

Status

approved