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Expansion of (q^-3) *psi(q)/ psi(q^25) in powers of q where psi() is a Ramanujan theta function.

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1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, -1, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -2, -2, 0, 0, 0, -1, -2, 0, 0, 0, -2, 1, 0, 0, 0, -2, 0, 0, 0, 0, 1, -2, 0, 0, 0, 3, 3, 0, 0, 0 (list; graph; listen)

	OFFSET	`-3,76`
	REFERENCES	`F. Calegari, Review of "A first Course in modular forms" by F. Diamond and J. Shurman, Bull. Amer. Math. Soc., 43 (No. 3, 2006), 415-421. See p. 418`
	FORMULA	`G.f.: (x^-3) Product_{k>0} (1-x^k) (1+x^k)^2/ ((1-x^(25k)) *(1+x^(50k))^2).`
	EXAMPLE	`q^-3 + q^-2 + 1 + q^3 + q^7 + q^12 + q^18 - q^22 - q^23 - q^28 + ...`
	PROGRAM	`(PARI) {a(n)=local(A); if(n<-3, 0, n+=3; A=xO(x^n); polcoeff( eta(x^2+A)^2 eta(x^25+A)/ (eta(x+A) *eta(x^50+A)^2), n))}`
	CROSSREFS	`Adjacent sequences: A131015 A131016 A131017 this_sequence A131019 A131020 A131021` `Sequence in context: A037863 A113302 A049800 this_sequence A035395 A116856 A140344`
	KEYWORD	`sign`
	AUTHOR	`Michael Somos, Jun 10 2007`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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