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 A115382 #3 Mar 30 2012 18:59:13
%S A115382 1,1,1,0,2,0,1,1,1,1,0,1,2,1,0,0,1,1,1,1,0,1,0,1,3,1,0,1,1,1,1,1,1,1,
%T A115382 1,1,0,2,0,1,3,1,0,2,0,0,1,1,2,1,1,2,1,1,0,1,0,2,1,1,3,1,1,2,0,1,0,1,
%U A115382 1,1,2,1,1,2,1,1,1,0,1,1,0,2,1,1,4,1,1,2,0,1,1,1,1,1,2,1,2,2,2,2,1,2,1,1,1
%N A115382 Correlation triangle for Thue-Morse sequence A010060(n+1).
%C A115382 Row sums are A115383. T(2n,n) gives A115384(n+1).
%F A115382 G.f.: A(x)A(x*y)/(1-x^2*y) where A(x) is the g.f. of A010060(n+1). Number triangle T(n, k)=sum{j=0..n, if(j<=k, A010060(k-j+1), 0)*if(j<=(n-k), A010060(n-k-j+1), 0)}.
%e A115382 Triangle begins
%e A115382 1,
%e A115382 1, 1,
%e A115382 0, 2, 0,
%e A115382 1, 1, 1, 1,
%e A115382 0, 1, 2, 1, 0,
%e A115382 0, 1, 1, 1, 1, 0,
%e A115382 1, 0, 1, 3, 1, 0, 1,
%e A115382 1, 1, 1, 1, 1, 1, 1, 1,
%e A115382 0, 2, 0, 1, 3, 1, 0, 2, 0,
%e A115382 0, 1, 1, 2, 1, 1, 2, 1, 1, 0,
%e A115382 1, 0, 2, 1, 1, 3, 1, 1, 2, 0, 1,
%e A115382 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0,
%e A115382 1, 1, 0, 2, 1, 1, 4, 1, 1, 2, 0, 1, 1,
%e A115382 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1,
%e A115382 0, 2, 1, 0, 2, 1, 1, 5, 1, 1, 2, 0, 1, 2, 0,
%e A115382 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1,
%e A115382 0, 1, 2, 2, 0, 2, 2, 1, 5, 1, 2, 2, 0, 2, 2, 1, 0
%K A115382 easy,nonn,tabl
%O A115382 0,5
%A A115382 _Paul Barry_, Jan 21 2006