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 A024218 #11 Jan 02 2020 04:17:09 %S A024218 1,3,58,474,11224,155016,4516912,88578480,3088805440,78711944640, %T A024218 3204477861760,100604441589120,4688743517516800,175033337095142400, %U A024218 9194586775173990400,397954301618843289600,23270065752049280819200,1145878628833500097536000 %N A024218 a(n) = s(1)*s(2)*...*s(n+1)(1/s(2) - 1/s(3) + ... + c/s(n+1)), where c=(-1)^n+1 and s(k) = 3k-2 for k = 1,2,3,... %H A024218 Andrew Howroyd, <a href="/A024218/b024218.txt">Table of n, a(n) for n = 1..100</a> %F A024218 a(n) ~ sqrt(2*Pi) * (9 - sqrt(3)*Pi - 3*log(2)) * 3^(n - 1) * n^(n + 5/6) / (Gamma(1/3) * exp(n)). - _Vaclav Kotesovec_, Jan 02 2020 %t A024218 Table[Product[3*k - 2, {k, 1, n+1}] * Sum[(-1)^k/(3*k - 2), {k, 2, n+1}], {n, 1, 20}] (* _Vaclav Kotesovec_, Jan 02 2020 *) %o A024218 (PARI) a(n)={my(s=vector(n+1, k, 3*k-2)); vecprod(s)*sum(k=2, #s, (-1)^k/s[k])} \\ _Andrew Howroyd_, Jan 01 2020 %Y A024218 Cf. A024397. %K A024218 nonn %O A024218 1,2 %A A024218 _Clark Kimberling_ %E A024218 Terms a(13) and beyond from _Andrew Howroyd_, Jan 01 2020