1,1

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,...).

Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 21 2009: (Start)

A130093 also = A047999 (Sierpinski's gasket) * A036987 diagonalized, as

infinite lower triangular matrices.

Eigensequence of A130093 = A001511, (same sequence as row sums). (End)

Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 26 2009: (Start)

Equals Sierpinski's gasket, A047999 * A036987 (diagonalized); as infinite

lower triangular matrices. (End)

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

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;

...

Cf. A001511, A051731, A036987.

Cf. A047999 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 21 2009]

Cf. A047999 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 26 2009]

Sequence in context: A131078 A130657 A084846 this_sequence A166446 A103368 A055132

Adjacent sequences: A130090 A130091 A130092 this_sequence A130094 A130095 A130096

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 06 2007