id:A091337 - OEIS Search Results

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a(n) = (2/n), where (k/n) is the Kronecker symbol.

+0
2

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

	OFFSET	`1,1`
	COMMENT	`Sinh(1) in 'reflected factorial' base is 1.01010101010101010101010101010101010101010101... see A073097 for Cosh(1) - (from Robert G. Wilson v (rgwv(AT)rgwv.com), May 04 2005)`
	LINKS	`Eric Weisstein's World of Mathematics, Kronecker Symbol`
	FORMULA	`G.f. x(1-x^2)/(1+x^4).` `Transform of Pell numbers A000129 by the Riordan array A102587. - Paul Barry, Jul 14 2005` `a(n)=-a(n+4)=a(-n). a(2n)=0.` `a(n) = -(1/8)*[n mod 8-(n+1) mod 8+(n+2) mod 8+(n+3) mod 8-(n+4) mod 8+(n+5) mod 8-(n+6) mod 8-(n+7) mod 8] with n>=0. - Paolo P. Lava (ppl(AT)spl.at), Oct 09 2006`
	PROGRAM	`(PARI) a(n)=(n%2)(-1)^((n+1)\4) / Michael Somos Sep 10 2005 /` `(PARI) a(n)=kronecker(2, n) / Michael Somos Sep 10 2005 */`
	CROSSREFS	`Sequence in context: A015757 A101455 A056594 this_sequence A059841 A071022 A071025` `Adjacent sequences: A091334 A091335 A091336 this_sequence A091338 A091339 A091340`
	KEYWORD	`sign`
	AUTHOR	`Eric Weisstein (eric(AT)weisstein.com), Dec 30, 2003`

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.

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