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 A344107 a(n) = n! * LaguerreL(n, -n+2). 2
 1, 0, 2, 34, 648, 14988, 414160, 13373190, 495057024, 20686611736, 963532779264, 49510386761130, 2782552712473600, 169808382346687524, 11182975029610555392, 790535958617173397902, 59708339321680507207680, 4798728602043471360126000, 408910082803875174679773184 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS 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). LINKS FORMULA 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. MATHEMATICA Table[n!*LaguerreL[n, -n+2], {n, 0, 20}] PROG (PARI) a(n) = n!*subst(pollaguerre(n), x, 2-n); \\ Michel Marcus, May 09 2021 CROSSREFS Cf. A001622, A277373, A343849, A344106. Sequence in context: A092883 A134495 A173208 * A224882 A227935 A264669 Adjacent sequences:  A344104 A344105 A344106 * A344108 A344109 A344110 KEYWORD nonn AUTHOR Vaclav Kotesovec, May 09 2021 STATUS approved

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Last modified November 30 18:37 EST 2021. Contains 349424 sequences. (Running on oeis4.)