This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A130093 #10 Jun 05 2021 03:28:02 %S A130093 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 A130093 0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0 %N A130093 A051731 * a lower triangular matrix with A036987 on the main diagonal and the rest zeros. %C A130093 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 A130093 also = A047999 (Sierpinski's gasket) * A036987 diagonalized, as infinite lower triangular matrices. - _Gary W. Adamson_, Oct 21 2009 %C A130093 Eigensequence of A130093 = A001511, (same sequence as row sums). - _Gary W. Adamson_, Oct 21 2009 %C A130093 Equals Sierpinski's gasket, A047999 * A036987 (diagonalized); as infinite lower triangular matrices. - _Gary W. Adamson_, Oct 26 2009 %F A130093 Inverse Moebius transform of a lower triangular matrix with A036987 (the Fredholm-Rueppel sequence) on the main diagonal and the rest zeros. %e A130093 First few rows of the triangle are: %e A130093 1; %e A130093 1, 1; %e A130093 1, 0, 0; %e A130093 1, 1, 0, 1; %e A130093 1, 0, 0, 0, 0; %e A130093 1, 1, 0, 0, 0, 0; %e A130093 1, 0, 0, 0, 0, 0, 0; %e A130093 1, 1, 0, 1, 0, 0, 0, 1; %e A130093 ... %Y A130093 Cf. A001511, A051731, A036987. %Y A130093 Cf. A047999. - _Gary W. Adamson_, Oct 21 2009, Oct 26 2009 %K A130093 nonn,tabl %O A130093 1,1 %A A130093 _Gary W. Adamson_, May 06 2007