id:A113687 - OEIS Search Results

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Expansion of q^(-7/12)eta(q)eta(q^6)^3/(eta(q^2)eta(q^3)) in powers of q.

+0
2

1, -1, 0, 0, 0, -1, -1, 1, 1, 0, 0, 1, -1, 1, -1, 0, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 0, -1, 0, 0, 1, 1, 1, 0, 1, -1, 0, 1, 0, -1, 0, 0, 1, -1, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, -2, 0, -1, 0, 0, -1, 0, 1, 1, -1, 1, 0, -1, 0, 2, 0, 0, -1, 0, 1, 0, 0, -1, 1, 0, -1, 0, -1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0 (list; graph; listen)

	OFFSET	`0,64`
	COMMENT	`\|a(n)\|<2 if n<63, \|a(n)\|<3 if n<742, \|a(n)\|<4 if n<8456.`
	FORMULA	`Euler transform of period 6 sequence [ -1, 0, 0, 0, -1, -2, ...].` `G.f.: Product_{k>0} (1-x^(6k))^2(1-x^(6k-1))(1-x^(6k-5)).`
	PROGRAM	`(PARI) {a(n)=local(A); if(n<0, 0, A=xO(x^n); polcoeff( eta(x+A)eta(x^6+A)^3/ eta(x^2+A)/eta(x^3+A), n))}`
	CROSSREFS	`Sequence in context: A123858 A035145 A107064 this_sequence A071006 A080843 A087371` `Adjacent sequences: A113684 A113685 A113686 this_sequence A113688 A113689 A113690`
	KEYWORD	`sign`
	AUTHOR	`Michael Somos, Nov 05 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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