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A046662 Sum of mistyped version of binomial coefficients. 1
1, 2, 7, 52, 749, 17686, 614227, 29354312, 1844279257, 147273109354, 14561325802271, 1745720380045852, 2494611639720702917 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

Sum(n!*k!/(n-k)!, k=0..n)

E.g.f.: exp(x)*F(x), with F(x) = sum(k>=0, k!*x^k). - R. Stephan, Apr 02 2004

a(n) = n^2*a(n - 1) - n*(n - 1)*a(n - 2) + 1. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 15 2004

CROSSREFS

A003149.

Sequence in context: A058721 A086902 A138737 * A118191 A005588 A106898

Adjacent sequences:  A046659 A046660 A046661 * A046663 A046664 A046665

KEYWORD

nonn,easy

AUTHOR

Len Smiley

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Last modified February 14 06:20 EST 2012. Contains 205570 sequences.