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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
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).
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
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, May 09 2021
STATUS
approved