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A368837 a(n) = n! * (n+2)! * Sum_{k=0..n} 1/(k! * (k+2)!). 2
1, 4, 33, 496, 11905, 416676, 20000449, 1260028288, 100802263041, 9979424041060, 1197530884927201, 171246916544589744, 28769481979491076993, 5610048986000760013636, 1256650972864170243054465, 320445998080363411978888576 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = n*(n+2)*a(n-1) + 1.
a(n) ~ BesselI(2,2) * n! * (n+2)!. - Vaclav Kotesovec, Jan 09 2024
PROG
(PARI) a(n) = n!*(n+2)!*sum(k=0, n, 1/(k!*(k+2)!));
CROSSREFS
Sequence in context: A002190 A101981 A002018 * A219504 A258180 A072754
KEYWORD
nonn,easy
AUTHOR
Seiichi Manyama, Jan 07 2024
STATUS
approved

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Last modified June 3 16:56 EDT 2024. Contains 373063 sequences. (Running on oeis4.)