A130116 Inverse Moebius transform of a diagonalized matrix of A007436.

1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 4, 1, 0, 1, 0, 0, 6, 1, 0, 0, 0, 0, 0, 12, 1, 0, 0, 2, 0, 0, 0, 18, 1, 0, 1, 0, 0, 0, 0, 0, 32, 1, 0, 0, 0, 4, 0, 0, 0, 0, 50

Offset

1,10

Comments

Row sums = F(n); example: row 6 = F(6), 8 = (1 + 0 + 1 + 0 + 0 + 6).

Right border = A007436, (1, 0, 1, 2, 4, 6, 12, 18, 32, ...), the Moebius transform of the Fibonacci series.

Links

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

Formula

A051731 * an infinite lower triangular matrix with A007436 in the main diagonal and the rest zeros.

Example

First few rows of the triangle:
  1;
  1,  0;
  1,  0,  1;
  1,  0,  0,  2;
  1,  0,  0,  0,  4;
  1,  0,  1,  0,  0,  6;
  1,  0,  0,  0,  0,  0, 12;
  1,  0,  0,  2,  0,  0,  0, 18;
  ...

Crossrefs

Cf. A007436, A051731, A054525.

Sequence in context: A145466 A036868 A326453 * A325774 A350488 A212868

Adjacent sequences: A130113 A130114 A130115 * A130117 A130118 A130119

Keyword

nonn,tabl

Author

Gary W. Adamson, May 09 2007

Status

approved