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Search: id:A054201
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A054201 (n-1)! Sum{k=1 to n} k^k/k!. +0
2
1, 3, 15, 109, 1061, 13081, 196135, 3470097, 70807497, 1637267473, 42310099331, 1208419463329, 37799118682429, 1285103316125721, 47184372451150719, 1860687091374107761, 78432185337652592657, 3519258710478790607137 (list; graph; listen)
OFFSET

1,2

FORMULA

-LambertW(-x)/(1+LambertW(-x))/(1-x) = Sum_{n>0} a(n)*x^n/(n-1)!. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 26 2002

EXAMPLE

a(3) = 2! *(1^1/1! +2^2/2! +3^3/3!) = 2 *(1/1 +4/2 + 27/6) = 15

CROSSREFS

Cf. A054202.

Sequence in context: A090351 A136221 A110328 this_sequence A090355 A083483 A089468

Adjacent sequences: A054198 A054199 A054200 this_sequence A054202 A054203 A054204

KEYWORD

nonn,easy

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Apr 29 2000

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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