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 A167364 #7 May 01 2013 04:06:35 %S A167364 1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0, %T A167364 0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0, %U A167364 0,1,0,0,0,1,0,0,0,0 %N A167364 Triangle read by rows, A047999 * A010060 (diagonalized); as infinite lower triangular matrices. %C A167364 Row sums = A048896: (1, 1, 2, 1, 2, 2, 4, 1, 2, 2, 4,...). Right border = Thue-Morse sequence A010060, starting with offset 1. %F A167364 Let S = Sierpinski's gasket, A047999. Let Q = a diagonalized version of the Thue-Morse sequence, A010060: [0; 0,1; 0,0,1; 0,0,0,0; 0,0,0,0,1;...], (i.e. A010060 as the rightmost diagonal and the rest zeros). A167364 = S * Q, as infinite lower triangular matrices. Delete leftmost column of zeros. %e A167364 First few rows of the triangle = %e A167364 1; %e A167364 0, 1; %e A167364 1, 1, 0; %e A167364 0, 0, 0, 1; %e A167364 1, 0, 0, 1, 0; %e A167364 0, 1, 0, 1, 0, 0; %e A167364 1, 1, 0, 1, 0, 0, 1; %e A167364 0, 0, 0, 0, 0, 0, 0, 1; %e A167364 1, 0, 0, 0, 0, 0, 0, 1, 0; %e A167364 0, 1, 0, 0, 0, 0, 0, 1, 0, 0; %e A167364 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1; %e A167364 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 %e A167364 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1; %e A167364 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1; %e A167364 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0; %e A167364 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 %e A167364 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0; %e A167364 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0; %e A167364 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1; %e A167364 ... %Y A167364 Cf. A047999, A010060. %K A167364 nonn,tabl %O A167364 1,1 %A A167364 _Gary W. Adamson_ & _Mats Granvik_, Nov 01 2009