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