A159602 - OEIS

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A159602

G.f.: A(x) = Sum_{n>=0} log(1 + x/(1-2^n*x))^n/n!.

1, 1, 2, 6, 26, 152, 1202, 12840, 184060, 3552960, 92338448, 3237738008, 153574021372, 9872941474544, 862850471831896, 102720981260693424, 16701084112350547436, 3715705202756433837504, 1133547354784950481434016 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	LINKS	`Table of n, a(n) for n=0..18.`
	EXAMPLE	`G.f.: A(x) = 1 + x + 2x^2 + 6x^3 + 26x^4 + 152x^5 +...` `A(x) = Sum_{n>=0} log(1 + x + 2^nx^2 + 4^nx^3 + 8^n*x^4 +..)^n/n!.` `A(x) = 1 + log(1+x/(1-2x)) + log(1+x/(1-4x))^2/2! + log(1+x/(1-8x))^3/3! +...`
	PROG	`(PARI) {a(n)=polcoeff(sum(m=0, n, log(1+x/(1-2^mx+xO(x^n)))^m/m!), n)}`
	CROSSREFS	`Sequence in context: A185994 A032187 A003659 * A032271 A205502 A107104` `Adjacent sequences: A159599 A159600 A159601 * A159603 A159604 A159605`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna, May 08 2009`
	STATUS	`approved`

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Last modified May 26 02:53 EDT 2013. Contains 225653 sequences.