id:A083219 - OEIS Search Results

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a(n) = n - 2*floor(n/4).

+0
4

0, 1, 2, 3, 2, 3, 4, 5, 4, 5, 6, 7, 6, 7, 8, 9, 8, 9, 10, 11, 10, 11, 12, 13, 12, 13, 14, 15, 14, 15, 16, 17, 16, 17, 18, 19, 18, 19, 20, 21, 20, 21, 22, 23, 22, 23, 24, 25, 24, 25, 26, 27, 26, 27, 28, 29, 28, 29, 30, 31, 30, 31, 32, 33, 32, 33, 34, 35, 34, 35, 36, 37, 36, 37, 38 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`a(n) = A083220(n)/2.`
	FORMULA	`a(n) = a(n-1) + n mod 2 + (n mod 4 -1)(1- n mod 2), a(0)=0.` `G.f.: x(1+x+x^2-x^3)/((1-x)^2(1+x)(1+x^2)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 28 2008]` `a(n)=1+(1/12)Sum{k=0..n}{7(k mod 4)+[(k+1) mod 4]+[(k+2) mod 4]-5([k+3) mod 4]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Oct 06 2008]`
	CROSSREFS	`Sequence in context: A078759 A095207 A065362 this_sequence A106249 A110516 A134986` `Adjacent sequences: A083216 A083217 A083218 this_sequence A083220 A083221 A083222`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 22 2003`

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.

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