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 A349066 #17 Feb 16 2025 08:34:02 %S A349066 1,2,76,14136,5324432,3275529760,2982971060928,3773262142004096, %T A349066 6332628384952750336,13620318069121988018688, %U A349066 36536710970888029776972800,119598502032157660592768038912,469232422933986002753883881312256,2173747962477936168042899607178059776 %N A349066 a(n) = H(2*n, n), where H(n,x) is n-th Hermite polynomial. %H A349066 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HermitePolynomial.html">Hermite Polynomial</a>. %H A349066 Wikipedia, <a href="https://en.wikipedia.org/wiki/Hermite_polynomials">Hermite polynomial</a>. %F A349066 a(n) ~ exp(-1) * 2^(2*n) * n^(2*n). %p A349066 a:= n-> simplify(HermiteH(2*n, n)): %p A349066 seq(a(n), n=0..20); # _Alois P. Heinz_, Nov 07 2021 %t A349066 Table[HermiteH[2*n, n], {n, 0, 15}] %o A349066 (PARI) a(n) = polhermite(2*n, n); \\ _Michel Marcus_, Nov 07 2021 %Y A349066 Cf. A285270, A349067, A349068. %K A349066 nonn %O A349066 0,2 %A A349066 _Vaclav Kotesovec_, Nov 07 2021