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