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 A349114 #10 Feb 16 2025 08:34:02
%S A349114 1,8,376,33984,4526176,797459200,174910868224,45926958135296,
%T A349114 14047764722238976,4905641267399503872,1925859774286175997952,
%U A349114 839619968812285810868224,402496047174560754869846016,210424519428145503482634174464,119148510992477432889126160826368
%N A349114 a(n) = 4^n * P(n, 2*n), where P(n, x) is n-th Legendre polynomial.
%H A349114 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LegendrePolynomial.html">Legendre Polynomial</a>.
%H A349114 Wikipedia, <a href="https://en.wikipedia.org/wiki/Legendre_polynomials">Legendre polynomials</a>.
%F A349114 a(n) ~ 2^(4*n) * n^(n - 1/2) / sqrt(Pi).
%t A349114 Table[4^n*LegendreP[n, 2*n], {n, 0, 16}]
%o A349114 (PARI) a(n) = 4^n*pollegendre(n, 2*n); \\ _Michel Marcus_, Nov 08 2021
%Y A349114 Cf. A008316, A110129, A349077, A349115.
%K A349114 nonn
%O A349114 0,2
%A A349114 _Vaclav Kotesovec_, Nov 08 2021