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 A184888 #6 Oct 05 2020 05:34:24 %S A184888 1,240,205920,243443200,333578044800,497645070354432, %T A184888 784620394258821120,1286100339771928412160,2169691463830861104076800, %U A184888 3742512413364745240724275200,6570354792903146744615537541120 %N A184888 a(n) = C(2n,n) * (8^n/n!^2) * Product_{k=0..n-1} (8k+3)*(8k+5). %F A184888 Self-convolution of A184887, where %F A184888 A184887(n) = (8^n/n!^2) * Product_{k=0..n-1} (16k+3)*(16k+5). %F A184888 a(n) ~ sqrt(sqrt(2)+2) * 2^(11*n - 1) / (Pi^(3/2) * n^(3/2)). - _Vaclav Kotesovec_, Oct 05 2020 %e A184888 G.f.: A(x) = 1 + 240*x + 205920*x^2 + 243443200*x^3 +... %e A184888 A(x)^(1/2) = 1 + 120*x + 95760*x^2 + 110230400*x^3 +...+ A184887(n)*x^n +... %o A184888 (PARI) {a(n)=(2*n)!/n!^2*(8^n/n!^2)*prod(k=0,n-1,(8*k+3)*(8*k+5))} %Y A184888 Cf. A184887, A184898. %K A184888 nonn %O A184888 0,2 %A A184888 _Paul D. Hanna_, Jan 25 2011