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 A091200 #4 Mar 30 2012 18:36:40 %S A091200 1,1,3,11,44,185,802,3553,15994,72886,335387,1555487,7261310,34083382, %T A091200 160730900,761039051,3616102911,17235223345,82372594183,394648349447, %U A091200 1894921311499,9116598414141,43939539520427,212124129983285 %N A091200 G.f. A(x) satisfies xA(x)^5 = B(xA(x^5)) where B(x) = x/(1-5x). %C A091200 More generally, given A(x) satisfies xA(x)^p = B(xA(x^p)) where B(x) = x/(1-p*x), then it appears that A(x) is an integer series only when p is prime. This is a special case of sequences with g.f.s that satisfy the more general functional equation xA(x)^m = B(xA(x^m)) originated by Michael Somos; some other examples are A085748, A091188 and A091190. %o A091200 (PARI) {a(n)=local(A,m); p=5;if(n<0,0,m=1; A=1+O(x); while(m<=n,m*=p; A=x*subst(A,x,x^p); A=(A/(1-p*A)/x)^(1/p));polcoeff(A,n))} %Y A091200 Cf. A085748, A091188, A091190. %K A091200 nonn %O A091200 0,3 %A A091200 _Paul D. Hanna_, Feb 23 2004