cp's OEIS Frontend

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.

A344107 a(n) = n! * LaguerreL(n, -n+2).

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%I A344107 #14 May 10 2021 07:10:45
%S A344107 1,0,2,34,648,14988,414160,13373190,495057024,20686611736,
%T A344107 963532779264,49510386761130,2782552712473600,169808382346687524,
%U A344107 11182975029610555392,790535958617173397902,59708339321680507207680,4798728602043471360126000,408910082803875174679773184
%N A344107 a(n) = n! * LaguerreL(n, -n+2).
%C A344107 In general, for fixed k>=0, n!*LaguerreL(n, -n+k) ~ exp((n-k)/phi - n) * phi^(2*n+1) * n^n / 5^(1/4).
%F A344107 a(n) ~ exp((n-2)/phi - n) * phi^(2*n+1) * n^n / 5^(1/4), where phi = A001622 = (1+sqrt(5))/2 is the golden ratio.
%t A344107 Table[n!*LaguerreL[n, -n+2], {n, 0, 20}]
%o A344107 (PARI) a(n) = n!*subst(pollaguerre(n), x, 2-n); \\ _Michel Marcus_, May 09 2021
%Y A344107 Cf. A001622, A277373, A343849, A344106.
%K A344107 nonn
%O A344107 0,3
%A A344107 _Vaclav Kotesovec_, May 09 2021