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 A216356 #8 Jan 06 2025 00:35:15 %S A216356 1,2,346,5280932,6332299624282,548057409594239814752, %T A216356 3282684865686445066146128050420, %U A216356 1329153351023643434414727317328867397924832,35862023917618878200052422822926970148356592776600354650,63875599229358329592315180101212796802405282289343043273094466311541144 %N A216356 a(n) = A000172(n^2), where Franel number A000172(n) = Sum_{k=0..n} C(n,k)^3. %F A216356 Forms the logarithmic derivative of A216355 after ignoring initial term a(0). %e A216356 L.g.f.: L(x) = 2*x + 346*x^2/2 + 5280932*x^3/3 + 6332299624282*x^4/4 + 548057409594239814752*x^5/5 +... %e A216356 where exp(L(x)) = 1 + 2*x + 175*x^2 + 1760658*x^3 + 1583078442003*x^4 + 109611485085305859618*x^5 +...+ A216355(n)*x^n +... %o A216356 (PARI) {a(n)=sum(k=0, n^2, binomial(n^2, k)^3)} %o A216356 for(n=0, 15, print1(a(n), ", ")) %Y A216356 Cf. A216355, A166990, A216352, A216353, A216354, A000172. %K A216356 nonn %O A216356 0,2 %A A216356 _Paul D. Hanna_, Sep 04 2012