A130115 Inverse Moebius transform of A130113 as a diagonalized matrix.

1, 1, 1, 1, 0, 3, 1, 1, 0, 4, 1, 0, 0, 0, 15, 1, 1, 3, 0, 0, 7, 1, 0, 0, 0, 0, 0, 63, 1, 1, 0, 4, 0, 0, 0, 24, 1, 0, 3, 0, 0, 0, 0, 0, 32, 1, 1, 0, 0, 15, 0, 0, 0, 0, 31

Offset

1,6

Comments

Right border = A130113, (1, 1, 3, 4, 15, 7, 63, 24, ...), the Moebius transform of A037019.

Row sums = A037019: (1, 2, 4, 6, 16, 12, 64, 30, 36, 48, ...).

Links

Table of n, a(n) for n=1..55.

Formula

A051731 * an infinite lower triangular matrix with A130113 as the diagonal and the rest zeros.

Example

First few rows of the triangle:
  1;
  1,  1;
  1,  0,  3;
  1,  1,  0,  4;
  1,  0,  0,  0, 15;
  1,  1,  3,  0,  0,  7;
  1,  0,  0,  0,  0,  0, 63;
  1,  1,  0,  4,  0,  0,  0, 24;
  ...

Crossrefs

Cf. A130113, A054525, A037019.

Sequence in context: A006941 A337525 A076277 * A191582 A356115 A363756

Adjacent sequences: A130112 A130113 A130114 * A130116 A130117 A130118

Keyword

nonn,tabl

Author

Gary W. Adamson, May 08 2007

Status

approved