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 A225601 #8 Aug 03 2013 13:31:36 %S A225601 1,2,100,175616,14331920656,57921784155180032, %T A225601 12255108779062338588246016,140335244044685299494850396160000000, %U A225601 89108073653130217591789722357691598453905367296,3194443255354428321611505213481524389463527731906791539474432 %N A225601 a(n) = A000172(n)^n, where A000172(n) = Sum_{k=0..n} binomial(n,k)^3 forms the Franel numbers. %F A225601 L.g.f.: Sum_{n>=1} a(n)*x^n/n = log( Sum_{n>=0} A216354(n)*x^n ). %e A225601 L.g.f.: L(x) = 2*x + 100*x^2/2 + 175616*x^3/3 + 14331920656*x^4/4 + 57921784155180032*x^5/5 +... %e A225601 where exponentiation is an integer series: %e A225601 exp(L(x)) = 1 + 2*x + 52*x^2 + 58640*x^3 + 3583098592*x^4 + 11584364000042912*x^5 +...+ A216354(n)*x^n +... %o A225601 (PARI) {a(n)=sum(k=0,n, binomial(n, k)^3)^n} %o A225601 for(n=0,20,print1(a(n),", ")) %Y A225601 cf. A216354, A000172. %K A225601 nonn %O A225601 0,2 %A A225601 _Paul D. Hanna_, Aug 03 2013