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A130093 A051731 * a lower triangular matrix with A036987 on the main diagonal and the rest zeros. 3
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

LINKS

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

FORMULA

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

EXAMPLE

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 [From Gary W. Adamson, Oct 21 2009, Oct 26 2009]

Sequence in context: A131078 A130657 A084846 * A166446 A103368 A055132

Adjacent sequences:  A130090 A130091 A130092 * A130094 A130095 A130096

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, May 06 2007

STATUS

approved

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Last modified February 22 19:36 EST 2018. Contains 299469 sequences. (Running on oeis4.)