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Search: id:A105576
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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. +0
1
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; listen)
OFFSET

0,1

FORMULA

2*a(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)+2*A107920(n+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 04 2009]

PROGRAM

Floretion Algebra Multiplication Program, FAMP Code: 1vesseq[.5'j + .5'k + .5j' + .5k' + .5'ii' + .5e]

CROSSREFS

Cf. A105577, A105578, A105579, A105580.

Equals 2*A107920(n) + A107920(n-1) + 1.

Sequence in context: A021750 A086230 A158677 this_sequence A105826 A110665 A063441

Adjacent sequences: A105573 A105574 A105575 this_sequence A105577 A105578 A105579

KEYWORD

sign

AUTHOR

Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Apr 14 2005

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Last modified November 27 14:17 EST 2009. Contains 167569 sequences.


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