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A110083 a(n+1) = Sum_{k=0..n} (n!/k!)*binomial(n,k)*a(k). 5
1, 1, 2, 8, 50, 442, 5212, 78664, 1472756, 33378740, 898227944, 28253387104, 1025373023848, 42467845178632, 1988513519453360, 104413376937507488, 6104596110052561808, 394921638012548722576, 28112685278602155590944, 2191142414957886078590080 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
MAPLE
a:= proc(n) option remember; `if`(n=0, 1, add(
a(n-i)*binomial(n-1, i-1)^2*(i-1)!, i=1..n))
end:
seq(a(n), n=0..20); # Alois P. Heinz, Aug 13 2019
MATHEMATICA
nmax=20; b = ConstantArray[0, nmax+2]; b[[1]]=1; Do[b[[n+2]] = Sum[n!/k!*Binomial[n, k]*b[[k+1]], {k, 0, n}], {n, 0, nmax}]; b (* Vaclav Kotesovec, Mar 02 2014 *)
CROSSREFS
Cf. A001063.
Sequence in context: A050398 A135081 A296366 * A086922 A007128 A013085
KEYWORD
easy,nonn
AUTHOR
Vladeta Jovovic, Sep 04 2005
STATUS
approved

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Last modified May 18 15:24 EDT 2024. Contains 372664 sequences. (Running on oeis4.)