id:A082784 - OEIS Search Results

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Characteristic function of multiples of 7.

+0
4

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

	OFFSET	`0,1`
	COMMENT	`a(0)=1, a(n)=0 for 1<=n<7, a(n+7)=a(n).`
	LINKS	`Index entries for characteristic functions`
	FORMULA	`a(n) = 0^(n mod 7).` `a(n)=(1/147)[ -20(n mod 7)+((n+1) mod 7)+((n+2) mod 7)+((n+3) mod 7)+((n+4) mod 7)+((n+5) mod 7)+22((n+6) mod 7)] - Paolo P. Lava (ppl(AT)spl.at), Sep 29 2006` `a(n)=-1((n^6 mod 7)-1) - Paolo P. Lava (ppl(AT)spl.at), Oct 02 2006`
	EXAMPLE	`a(14)=a(27)=1; a(41)=a(57+6)=0.`
	CROSSREFS	`Cf. A008589, A076309.` `Sequence in context: A015283 A014548 A015087 this_sequence A105165 A058342 A014045` `Adjacent sequences: A082781 A082782 A082783 this_sequence A082785 A082786 A082787`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 22 2003`

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Last modified November 24 19:42 EST 2009. Contains 167435 sequences.

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