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 A380493 #10 Jan 25 2025 11:27:21
%S A380493 1,6,57,748,12585,259026,6315001,178134552,5711078673,205209960670,
%T A380493 8171229107481,357235056697476,17014791129640057,877089297426429738,
%U A380493 48657292133825026905,2890717184573264397616,183125115830192864360481,12323226433255671469949622
%N A380493 a(n) = n! * Sum_{k=0..n} binomial(2*n+3,k)/(n-k)!.
%H A380493 Wikipedia, <a href="https://en.wikipedia.org/wiki/Laguerre_polynomials">Laguerre polynomials</a>
%H A380493 <a href="/index/La#Laguerre">Index entries for sequences related to Laguerre polynomials</a>
%F A380493 a(n) = n! * LaguerreL(n, n+3, -1).
%F A380493 a(n) = n! * [x^n] exp(x/(1 - x))/(1 - x)^(n+4).
%o A380493 (PARI) a(n) = n!*pollaguerre(n, n+3, -1);
%Y A380493 Cf. A082545, A152059, A251568, A293985, A343832, A380491, A380492.
%K A380493 nonn
%O A380493 0,2
%A A380493 _Seiichi Manyama_, Jan 25 2025