A009306 - OEIS

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A009306

Expansion of ln(1+exp(x)*x).

0, 1, 1, -1, -2, 9, 6, -155, 232, 3969, -20870, -118779, 1655028, 1610257, -143697722, 522358005, 13332842416, -138189937791, -1128293525646, 29219838555781, 17274118159180, -5993074252801839, 38541972209299966, 1179892974640047669 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,5`
	LINKS	`Vladimir Kruchinin, Compositae and their properties , arXiv:1103.2582`
	FORMULA	`a(n) = n! * sum(k^(n-k-1) * (-1)^(k+1)/(n-k)!, k=1..n). [From Kruchinin Vladimir (kru(AT)ie.tusur.ru), Sep 07 2010]`
	MAPLE	`a:= n-> n! add (k^(n-k-1) (-1)^(k+1) /(n-k)!, k=1..n):` `seq (a(n), n=0..25);`
	CROSSREFS	`Sequence in context: A201736 A068632 A122664 * A021775 A198842 A016596` `Adjacent sequences: A009303 A009304 A009305 * A009307 A009308 A009309`
	KEYWORD	`sign,easy`
	AUTHOR	`R. H. Hardin (rhhardin(AT)att.net)`
	EXTENSIONS	`Extended with signs Mar 15 1997 by Olivier Gerard.`

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Last modified February 14 05:09 EST 2012. Contains 205570 sequences.