A054201 - OEIS

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A054201

(n-1)! Sum{k=1 to n} k^k/k!.

1, 3, 15, 109, 1061, 13081, 196135, 3470097, 70807497, 1637267473, 42310099331, 1208419463329, 37799118682429, 1285103316125721, 47184372451150719, 1860687091374107761, 78432185337652592657, 3519258710478790607137 (list; graph; refs; listen; history; internal format)

	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.rs), 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: A136221 A153305 A110328 * A090355 A083483 A089468` `Adjacent sequences: A054198 A054199 A054200 * A054202 A054203 A054204`
	KEYWORD	`nonn,easy`
	AUTHOR	`Leroy Quet Apr 29 2000`

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Last modified February 16 01:31 EST 2012. Contains 205860 sequences.