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Expansion of eta(q^2)^3*eta(q^4)^5/(eta(q)^2*eta(q^8)^3) in powers of q.

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1, 2, 2, 4, 0, -4, 0, -8, -2, 6, -8, 4, 0, -12, 0, -8, -4, 8, 10, 12, 0, -8, 0, -8, 8, 14, -8, 16, 0, -4, 0, -16, 6, 16, 16, 8, 0, -20, 0, -8, -8, 8, -16, 20, 0, -20, 0, -16, -8, 18, 10, 8, 0, -12, 0, -24, 0, 16, -24, 12, 0, -20, 0, -24, 12, 8, 16, 28, 0, -16, 0, -8, -10, 32, -8, 20, 0, -16, 0, -16, -8, 18, 32, 20, 0, -24, 0 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`Expansion of phi(q)phi(q^2)phi(-q^4) in powers of q where phi() is a Ramanujan theta function.` `Euler transform of period 8 sequence [ 2, -1, 2, -6, 2, -1, 2, -3, ...].` `a(8n+4)=a(8n+6)=0.`
	PROGRAM	`(PARI) {a(n)=local(A); if(n<0, 0, A=xO(x^n); polcoeff( eta(x^2+A)^3eta(x^4+A)^5/(eta(x+A)^2*eta(x^8+A)^3), n))}`
	CROSSREFS	`a(n)=A080963(2n). A116597(n)=a(2n). A033763(n)=-8*a(8n+7).` `Sequence in context: A063070 A049802 A129240 this_sequence A030207 A061006 A080736` `Adjacent sequences: A127783 A127784 A127785 this_sequence A127787 A127788 A127789`
	KEYWORD	`sign`
	AUTHOR	`Michael Somos, Jan 29 2007`

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Last modified September 6 00:03 EDT 2008. Contains 143485 sequences.

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