id:A107064 - OEIS Search Results

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Expansion of q^(-17/24) * (eta(q) * eta(q^6)^4) / (eta(q^2) * eta(q^3)^2) in powers of q.

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

	OFFSET	`0,52`
	FORMULA	`Euler transform of period 6 sequence [ -1, 0, 1, 0, -1, -2, ...].` `G.f.: Product_{k>0} ((1-x^(6k))(1+x^(3k)))^2/(1+x^k).` `Expansion of psi(q^3)^2 * chi(-q) in powers of q where psi(), chi() are Ramanujan theta functions.`
	PROGRAM	`(PARI) {a(n) = local(A); if( n<0, 0, A = x * O(x^n); polcoeff( eta(x + A) * eta(x^6 + A)^4 / eta(x^2 + A) / eta(x^3 + A)^2, n))}`
	CROSSREFS	`Cf. A030204(3n+2)=-2a(n).` `Adjacent sequences: A107061 A107062 A107063 this_sequence A107065 A107066 A107067` `Sequence in context: A133988 A123858 A035145 this_sequence A113687 A071006 A080843`
	KEYWORD	`sign`
	AUTHOR	`Michael Somos, May 10 2005`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

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