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 A344106 #11 Dec 25 2021 08:27:31 %S A344106 1,1,7,86,1473,32344,866695,27422352,1000578817,41361536384, %T A344106 1910451937671,97512721964800,5450486787062977,331112639931669504, %U A344106 21722219855305516807,1530517712811373819904,115269154497700063898625,9241045907270523509112832,785719407951447904088069383 %N A344106 a(n) = n! * LaguerreL(n, -n+1). %F A344106 a(n) ~ exp((n-1)/phi - n) * phi^(2*n+1) * n^n / 5^(1/4), where phi = A001622 = (1+sqrt(5))/2 is the golden ratio. %F A344106 a(n) = Sum_{k=0..n} binomial(n, k)^2*(n - k)!*(n - 1)^k. - _Peter Luschny_, Dec 25 2021 %t A344106 Table[n!*LaguerreL[n, -n+1], {n, 0, 20}] %o A344106 (PARI) a(n) = n!*subst(pollaguerre(n), x, 1-n); \\ _Michel Marcus_, May 09 2021 %Y A344106 Cf. A001622, A277373, A343849, A344107. %K A344106 nonn %O A344106 0,3 %A A344106 _Vaclav Kotesovec_, May 09 2021