id:A083703 - OEIS Search Results

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Expansion of eta(q)^4/eta(q^4) in powers of q.

+0
2

1, -4, 2, 8, -4, -8, -8, 16, 6, -12, 8, 8, -8, -24, 0, 16, 12, -16, 10, 24, -8, -16, -24, 16, 8, -28, 8, 32, -16, -8, 0, 32, 6, -32, 16, 16, -12, -40, -24, 16, 24, -16, 16, 40, -8, -40, 0, 32, 24, -36, 10, 16, -24, -24, -32, 48, 0, -32, 24, 24, -16, -40, 0, 48, 12, -16, 16, 56, -16, -32, -48, 16, 30, -64, 8, 40, -24 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Euler transform of period 4 sequence [ -4,-4,-4,-3,...].`
	FORMULA	`G.f.: Product_{n>0} (1-x^n)^4/(1-x^(4n)).`
	PROGRAM	`(PARI) a(n)=if(n<0, 0, X=x+x*O(x^n); polcoeff(eta(X)^4/eta(X^4), n))`
	CROSSREFS	`A080965(n)=(-1)^n a(n). a(2n)=0 iff n in A004215 (checked up to n=343).` `a(2n)=0 iff A005875(n)=0.` `Sequence in context: A095399 A068504 A080965 this_sequence A066104 A131819 A000727` `Adjacent sequences: A083700 A083701 A083702 this_sequence A083704 A083705 A083706`
	KEYWORD	`sign`
	AUTHOR	`Michael Somos, May 04 2003`

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.

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