id:A162415 - OEIS Search Results

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L.g.f.: Sum_{n>=1} a(n)*x^n/n = log( Sum_{n>=0} x^(2^n-1) ).

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1, -1, 4, -5, 6, -10, 22, -29, 40, -66, 100, -146, 222, -344, 534, -797, 1208, -1846, 2794, -4230, 6430, -9780, 14836, -22514, 34206, -51936, 78826, -119684, 181744, -275940, 418966, -636125, 965848, -1466438, 2226482, -3380510, 5132678 (list; graph; listen)

	OFFSET	`0,3`
	EXAMPLE	`G.f.: L(x) = x - x^2/2 + 4x^3/3 - 5x^4/4 + 6x^5/5 - 10x^6/6 +-...` `where L(x) = log(1 + x + x^3 + x^7 + x^15 + x^31 +...+ x^(2^n-1) +...).`
	PROGRAM	`(PARI) {a(n)=local(L=log(sum(m=0, #binary(n), x^(2^m-1))+xO(x^n))); npolcoeff(L, n)}`
	CROSSREFS	`Cf. A162416.` `Sequence in context: A001609 A101590 A057916 this_sequence A007606 A047311 A076138` `Adjacent sequences: A162412 A162413 A162414 this_sequence A162416 A162417 A162418`
	KEYWORD	`sign`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jul 02 2009`

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.

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