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 A184887 #11 Jul 04 2014 03:58:29 %S A184887 1,120,95760,110230400,148976385600,220389705801216, %T A184887 345522083206128640,564061275098462085120,948680557056225919411200, %U A184887 1632480132897839426558156800,2860496988068910156792264671232 %N A184887 a(n) = (8^n/n!^2) * Product_{k=0..n-1} (16k+3)*(16k+5). %H A184887 Vincenzo Librandi, <a href="/A184887/b184887.txt">Table of n, a(n) for n = 0..100</a> %F A184887 Self-convolution yields Sum_{k=0..n} a(n-k)*a(k) = A184888(n) where: A184888(n) = C(2n,n) * (8^n/n!^2)*Product_{k=0..n-1} (8k+3)*(8k+5). %e A184887 G.f.: A(x) = 1 + 120*x + 95760*x^2 + 110230400*x^3 +... %e A184887 A(x)^2 = 1 + 240*x + 205920*x^2 + 243443200*x^3 +...+ A184888(n)*x^n +... %t A184887 FullSimplify[Table[2^(11*n) * Gamma[n+3/16] * Gamma[n+5/16] / (Gamma[n+1]^2 * Gamma[3/16] * Gamma[5/16]), {n, 0, 15}]] (* _Vaclav Kotesovec_, Jul 03 2014 *) %o A184887 (PARI) {a(n)=(8^n/n!^2)*prod(k=0,n-1,(16*k+3)*(16*k+5))} %Y A184887 Cf. A184888, A184897. %K A184887 nonn %O A184887 0,2 %A A184887 _Paul D. Hanna_, Jan 25 2011