A105576 - OEIS

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A105576

a(n+3) = 2a(n+2) - 3a(n+1) + 2a(n); a(0) = 3, a(1) = 4, a(2) = 0.

3, 4, 0, -6, -4, 10, 20, 2, -36, -38, 36, 114, 44, -182, -268, 98, 636, 442, -828, -1710, -52, 3370, 3476, -3262, -10212, -3686, 16740, 24114, -9364, -57590, -38860, 76322, 154044, 1402, -306684, -309486, 303884, 922858, 315092, -1530622, -2160804, 900442, 5222052, 3421170 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,1`
	LINKS	`Table of n, a(n) for n=0..43.`
	FORMULA	`2a(n) = A105225(n) + A105577(n) + 4((-1)^n)A001607(n+1)` `G.f.: (3-2x+x^2)/((1-x)(1-x+2x^2)). a(n)=1+A107920(n)+2A107920(n+1). [From R. J. Mathar, Feb 04 2009]`
	PROG	`Floretion Algebra Multiplication Program, FAMP Code: 1vesseq[.5'j + .5'k + .5j' + .5k' + .5'ii' + .5e]`
	CROSSREFS	`Cf. A105577, A105578, A105579, A105580.` `Equals 2A107920(n) + A107920(n-1) + 1.` `Sequence in context: A086230 A197485 A158677 A105826 A110665 A063441` `Adjacent sequences: A105573 A105574 A105575 * A105577 A105578 A105579`
	KEYWORD	`sign`
	AUTHOR	`Creighton Dement, Apr 14 2005`
	STATUS	`approved`

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Last modified June 24 07:19 EDT 2017. Contains 288697 sequences.