id:A118272 - OEIS Search Results

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

+0
2

1, -2, 1, -4, 8, -6, 6, -8, 14, -10, 1, -16, 20, -14, 12, -16, 31, -18, 8, -20, 32, -28, 18, -24, 38, -32, 6, -28, 44, -30, 24, -40, 57, -34, 14, -36, 72, -38, 30, -48, 62, -52, 1, -44, 68, -46, 48, -56, 74, -50, 20, -64, 80, -64, 42, -56, 108, -58, 12, -60, 112, -76, 48, -64, 98, -66, 31, -80, 104, -80, 54, -88 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`Euler transform of period 6 sequence [ -2, 0, -4, 0, -2, -4, ...].` `A118271(3n+2)=-3a(n).`
	PROGRAM	`(PARI) {a(n)=local(A); if(n<0, 0, A=xO(x^n); polcoeff( (eta(x+A)eta(x^3+A)*eta(x^6+A)/eta(x^2+A))^2, n))}`
	CROSSREFS	`Sequence in context: A026204 A059146 A059148 this_sequence A112173 A058543 A008301` `Adjacent sequences: A118269 A118270 A118271 this_sequence A118273 A118274 A118275`
	KEYWORD	`sign`
	AUTHOR	`Michael Somos, Apr 21 2006`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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