id:A109753 - OEIS Search Results

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n^3 mod 8; the periodic sequence {0,1,0,3,0,5,0,7}.

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0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0 (list; graph; listen)

	OFFSET	`0,4`
	FORMULA	`G.f. = (x+3x^3+5x^5+7x^7)/(1-x^8)` `a(n)=1/56{53(n mod 8)-45[(n+1) mod 8]+39[(n+2) mod 8]-31[(n+3) mod 8]+25[(n+4) mod 8]-17[(n+5) mod 8]+11[(n+6) mod 8]-3[(n+7) mod 8]} - Paolo P. Lava (ppl(AT)spl.at), Nov 21 2006` `a(n) = mod[n,(5-3(-1)*n)] = mod[n,A010698(n)] - William A. Tedeschi (fynmun(AT)hotmail.com), Mar 06 2008`
	CROSSREFS	`Cf. n mod 8 = A010877; n^2 mod 8 = A070432.` `Adjacent sequences: A109750 A109751 A109752 this_sequence A109754 A109755 A109756` `Sequence in context: A058026 A004605 A086664 this_sequence A071649 A049283 A051704`
	KEYWORD	`easy,nonn`
	AUTHOR	`Bruce Corrigan (scentman(AT)myfamily.com), Aug 11 2005`

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Last modified May 11 10:28 EDT 2008. Contains 139662 sequences.

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