A030451 - OEIS

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A030451

Once started, this mixes the natural numbers and the natural numbers shifted by 1.

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

	OFFSET	`0,2`
	COMMENTS	`a(n) = A110570(n,2) for n>1. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 28 2005`
	LINKS	`Index entries for two-way infinite sequences`
	FORMULA	`a(n) = 3/4 -(-1^n)*3/4 +n/2.` `G.f.: (2x-x^2)/((1-x)(1-x^2)). a(2n)=n. a(2n+1)=n+2. a(n+2)=a(n)+1. a(n)=-a(-3-n).` `a(n)=(n+1)-a(n-1) (with a(0)=0) [From Vincenzo Librandi, Nov 18 2010]`
	PROG	`(PARI) a(n)=n\2+2*(n%2)`
	CROSSREFS	`Cf. A028242.` `Sequence in context: A066136 A097140 A028242 * A029162 A005044 A029142` `Adjacent sequences: A030448 A030449 A030450 * A030452 A030453 A030454`
	KEYWORD	`nonn`
	AUTHOR	`Daniel Smith (2true(AT)gte.net)`

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Last modified February 17 07:41 EST 2012. Contains 205998 sequences.