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 A108308 #6 Mar 30 2012 18:59:08
%S A108308 1,0,1,2,9,44,245,1462,9157,59368,395033,2682282,18510561,129451492,
%T A108308 915401757,6534282398,47020440413,340733200288,2484299720065,
%U A108308 18211441554706,134145473550009,992385470273692,7370066147881413
%N A108308 Expansion of 1/(1-x^2*c(2x)), c(x) the g.f. of A000108.
%C A108308 Diagonal sums of A110510.
%F A108308 a(0)=1, a(n)=sum{k=0..floor(n/2), (k/(n-k))*C(2n-3k-1, n-2k)*2^(n-2k)}, n>0.
%F A108308 Conjecture: 2*(n-1)*a(n) +(41-17*n)*a(n-1) +4*(2n-5)*a(n-2) +(n-1)*a(n-3) +4*(5-2n)*a(n-4)=0. - R. J. Mathar, Dec 10 2011
%K A108308 easy,nonn
%O A108308 0,4
%A A108308 _Paul Barry_, Jul 24 2005