id:A080964 - OEIS Search Results

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Euler transform of period-16 sequence [2,-3,2,1,2,-3,2,-6,2,-3,2,1,2,-3,2,-3,...].

+0
3

1, 2, 0, 0, 4, 4, 0, 0, 2, -2, 0, 0, -8, -4, 0, 0, -4, 0, 0, 0, 8, -8, 0, 0, -8, -2, 0, 0, -16, 4, 0, 0, 6, -8, 0, 0, 12, 4, 0, 0, 8, 8, 0, 0, -8, 4, 0, 0, -8, 2, 0, 0, 24, -4, 0, 0, 0, 8, 0, 0, -16, 4, 0, 0, 12, 8, 0, 0, 16, 0, 0, 0, 10, -8, 0, 0, -24, 0, 0, 0, -8, -6, 0, 0, 16, 8, 0, 0, -24, -8, 0, 0, -16, -8, 0, 0, 8, 0, 0 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(4n+2)=a(4n+3)=0.`
	PROGRAM	`(PARI) a(n)=local(X); if(n<0, 0, X=x+xO(x^n); polcoeff(eta(X)^-2eta(X^2)^5eta(X^4)^-4eta(X^8)^7*eta(X^16)^-3, n))`
	CROSSREFS	`a(n)=2A072071(n)-A072070(n). a(4n)=A080965(n). a(4n+1)=2A080966(n).` `Sequence in context: A147592 A108885 A072740 this_sequence A004531 A134014 A072071` `Adjacent sequences: A080961 A080962 A080963 this_sequence A080965 A080966 A080967`
	KEYWORD	`sign`
	AUTHOR	`Michael Somos, Feb 28 2003`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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