id:A109718 - OEIS Search Results

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Periodic sequence with period {0,1,0,3}, or n^3 mod 4.

+0
1

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

	OFFSET	`0,4`
	COMMENT	`Since n^(2k+1) mod 4 = n^3 mod 4 for k>1 this sequence also represents n^5 mod 4; and n^7 mod 4; etc`
	FORMULA	`a(n) = n^3 mod 4. G.f. = (x+3x^3)/(1-x^4)` `a(n) = (1/12){11(n mod 4)-7[(n+1) mod 4]+5[(n+2) mod 4]-[(n+3) mod 4]} - Paolo P. Lava (ppl(AT)spl.at), Nov 21 2006`
	PROGRAM	`(Other) sage: [power_mod(n, 3, 4 )for n in xrange(0, 105)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 29 2009]`
	CROSSREFS	`n mod 4 = A010873; n^2 mod 4 = A000035.` `Sequence in context: A101270 A155522 A007524 this_sequence A053385 A035640 A079327` `Adjacent sequences: A109715 A109716 A109717 this_sequence A109719 A109720 A109721`
	KEYWORD	`easy,nonn`
	AUTHOR	`Bruce Corrigan (scentman(AT)myfamily.com), Aug 09 2005`

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.

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