A112347 - OEIS

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A112347

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

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; refs; listen; history; internal format)

	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).`
	PROG	`(PARI) a(n)=if(n, kronecker(-1, n))`
	CROSSREFS	`Cf. A034947(n)=a(n) if n nonzero.` `Sequence in context: A070238 A062157 A103131 * A057427 A178334 A185016` `Adjacent sequences: A112344 A112345 A112346 * A112348 A112349 A112350`
	KEYWORD	`sign,mult`
	AUTHOR	`Michael Somos, Sep 12 2005`

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Last modified February 13 08:12 EST 2012. Contains 205451 sequences.