id:A112347 - OEIS Search Results

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Kronecker symbol (-1,n) except a(0)=0.

+0
1

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

	OFFSET	`0,1`
	FORMULA	`Multiplicative with a(2^e) = 1, a(p^e) = (-1)^(e(p-1)/2) if p>2.` `a(2n)=a(n), a(4n+1)=1, a(4n+3)=-1. a(-n)=-a(n).`
	PROGRAM	`(PARI) a(n)=if(n, kronecker(-1, n))`
	CROSSREFS	`Cf. A034947(n)=a(n) if n nonzero.` `Sequence in context: A057427 A057428 A062157 this_sequence A134824 A000007 A014041` `Adjacent sequences: A112344 A112345 A112346 this_sequence A112348 A112349 A112350`
	KEYWORD	`sign,mult`
	AUTHOR	`Michael Somos, Sep 12 2005`

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.

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