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 A139147 #5 Mar 03 2013 13:23:23 %S A139147 1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,2,1,1,1,1,2,3,2,1,1,1,1,2,3,3,2, %T A139147 1,1,1,1,2,3,5,3,2,1,1,1,1,2,3,5,5,3,2,1,1,1,1,2,3,5,8,5,3,2,1,1,1,1, %U A139147 2,3,5,8,8,5,3,2,1,1 %N A139147 Triangle read by rows: replace A003983(n,k) with F(n). %F A139147 Replace term A003983(n,k) with F(n). %F A139147 Triangle T(n,k)=sum{j=0..n, [j<=k]*[j<=n-k]*(F(j+1)-F(j))}. [From _Paul Barry_, Jan 18 2009] %e A139147 First few rows of A003983 are [1; 1,1; 1,2,1; 1,2,2,1;...] which become [F(1); F(1),F(1); F(1),F(2),F(1); F(1),F(2),F(2),F(1);...] = %e A139147 1; %e A139147 1, 1; %e A139147 1, 1, 1; %e A139147 1, 1, 1, 1; %e A139147 1, 1, 2, 1, 1; %e A139147 1, 1, 2, 2, 1, 1; %e A139147 1, 1, 2, 3, 2, 1, 1; %e A139147 1, 1, 2, 3, 3, 2, 1, 1; %e A139147 1, 1, 2, 3, 5, 3, 2, 1, 1; %e A139147 1, 1, 2, 3, 5, 5, 3, 2, 1, 1; %e A139147 1, 1, 2, 3, 5, 8, 5, 3, 2, 1, 1; %e A139147 ... %Y A139147 Cf. A134404. %K A139147 nonn,tabl %O A139147 1,13 %A A139147 _Gary W. Adamson_ & Klaus Breyer, Apr 10 2008