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 A332695 #17 Feb 05 2021 08:56:35 %S A332695 1,5,98,3234,149784,8927880,650696400,56061791856,5574017768832, %T A332695 628158472212096,79123082415148800,11015976349601752320, %U A332695 1679832851707998600192,278440504042352431942656,49846084962712218734045184,9584526091509128369970432000,1970059291620925696814892810240 %N A332695 a(n) = (-1)^n * n! * Laguerre(n, 6*n). %C A332695 For m > 4, (-1)^n * n! * Laguerre(n, m*n) ~ sqrt(1/2 + (m-2)/(2*sqrt(m*(m-4)))) * exp((m - 2 - sqrt(m*(m-4)))*n/2) * ((m - 2 + sqrt(m*(m-4)))/2)^n * n^n. %H A332695 Vaclav Kotesovec, <a href="/A332695/b332695.txt">Table of n, a(n) for n = 0..310</a> %F A332695 a(n) ~ sqrt(1/2 + 1/sqrt(3)) * 2^n * exp((2-sqrt(3))*n) * ((1 + sqrt(3))/2)^(2*n) * n^n. %t A332695 Table[(-1)^n * n! * LaguerreL[n, 6*n], {n, 0, 20}] %t A332695 Flatten[{1, Table[n!*Sum[Binomial[n, k] * (-1)^(n-k) * 6^k * n^k / k!, {k, 0, n}], {n, 1, 20}]}] %t A332695 Table[(-1)^n * n! * Hypergeometric1F1[-n, 1, 6*n], {n, 0, 20}] %o A332695 (PARI) a(n) = (-1)^n*n!*pollaguerre(n, 0, 6*n); \\ _Michel Marcus_, Feb 05 2021 %Y A332695 Cf. A277420, A277423, A332692, A332693, A332679, A332694. %K A332695 nonn %O A332695 0,2 %A A332695 _Vaclav Kotesovec_, Feb 20 2020