A130093 A051731 * a lower triangular matrix with A036987 on the main diagonal and the rest zeros.

1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0

Offset: 1

Author

Gary W. Adamson, May 06 2007

Keywords

• nonn
• tabl

Comments

Right border = A036987, the Fredholm-Rueppel sequence, (1, 1, 0, 1, 0, 0, 0, 1, 0, ...). Row sums = the ruler function, A001511: (1, 2, 1, 3, 1, 2, 1, 4, ...).

A130093 also = A047999 (Sierpinski's gasket) * A036987 diagonalized, as infinite lower triangular matrices. - Gary W. Adamson, Oct 21 2009

Eigensequence of A130093 = A001511, (same sequence as row sums). - Gary W. Adamson, Oct 21 2009

Equals Sierpinski's gasket, A047999 * A036987 (diagonalized); as infinite lower triangular matrices. - Gary W. Adamson, Oct 26 2009

Examples

			First few rows of the triangle are:
  1;
  1, 1;
  1, 0, 0;
  1, 1, 0, 1;
  1, 0, 0, 0, 0;
  1, 1, 0, 0, 0, 0;
  1, 0, 0, 0, 0, 0, 0;
  1, 1, 0, 1, 0, 0, 0, 1;
  ...
		

Crossrefs

Cf. A001511, A051731, A036987.

Cf. A047999. - Gary W. Adamson, Oct 21 2009, Oct 26 2009

Formula

Inverse Moebius transform of a lower triangular matrix with A036987 (the Fredholm-Rueppel sequence) on the main diagonal and the rest zeros.