%I A105576
%S A105576 3,4,0,6,4,10,20,2,36,38,36,114,44,182,268,98,636,442,828,1710,52,3370,
               3476,
%T A105576 3262,10212,3686,16740,24114,9364,57590,38860,76322,154044,1402,306684,
               309486,
%U A105576 303884,922858,315092,1530622,2160804,900442,5222052,3421170
%V A105576 3,4,0,-6,-4,10,20,2,-36,-38,36,114,44,-182,-268,98,636,442,-828,-1710,
               -52,3370,3476,
%W A105576 -3262,-10212,-3686,16740,24114,-9364,-57590,-38860,76322,154044,1402,
               -306684,-309486,
%X A105576 303884,922858,315092,-1530622,-2160804,900442,5222052,3421170
%N A105576 a(n+3) = 2a(n+2) - 3a(n+1) + 2a(n); a(0) = 3, a(1) = 4, a(2) = 0.
%F A105576 2*a(n) = A105225(n) + A105577(n) + 4*((-1)^n)*A001607(n+1)
%F A105576 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]
%o A105576 Floretion Algebra Multiplication Program, FAMP Code: 1vesseq[.5'j + .5'k 
               + .5j' + .5k' + .5'ii' + .5e]
%Y A105576 Cf. A105577, A105578, A105579, A105580.
%Y A105576 Equals 2*A107920(n) + A107920(n-1) + 1.
%Y A105576 Sequence in context: A021750 A086230 A158677 this_sequence A105826 A110665 
               A063441
%Y A105576 Adjacent sequences: A105573 A105574 A105575 this_sequence A105577 A105578 
               A105579
%K A105576 sign
%O A105576 0,1
%A A105576 Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Apr 14 2005