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%I #10 Jun 05 2021 03:28:02
%S 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,
%T 0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
%N A051731 * a lower triangular matrix with A036987 on the main diagonal and the rest zeros.
%C 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, ...).
%C A130093 also = A047999 (Sierpinski's gasket) * A036987 diagonalized, as infinite lower triangular matrices. - _Gary W. Adamson_, Oct 21 2009
%C Eigensequence of A130093 = A001511, (same sequence as row sums). - _Gary W. Adamson_, Oct 21 2009
%C Equals Sierpinski's gasket, A047999 * A036987 (diagonalized); as infinite lower triangular matrices. - _Gary W. Adamson_, Oct 26 2009
%F Inverse Moebius transform of a lower triangular matrix with A036987 (the Fredholm-Rueppel sequence) on the main diagonal and the rest zeros.
%e First few rows of the triangle are:
%e 1;
%e 1, 1;
%e 1, 0, 0;
%e 1, 1, 0, 1;
%e 1, 0, 0, 0, 0;
%e 1, 1, 0, 0, 0, 0;
%e 1, 0, 0, 0, 0, 0, 0;
%e 1, 1, 0, 1, 0, 0, 0, 1;
%e ...
%Y Cf. A001511, A051731, A036987.
%Y Cf. A047999. - _Gary W. Adamson_, Oct 21 2009, Oct 26 2009
%K nonn,tabl
%O 1,1
%A _Gary W. Adamson_, May 06 2007
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