%I A153266
%S A153266 13,19,162,423,2281,7582,34365,126891,535234,2068495,8463633,
%T A153266 33358014,134731957,535524643,2151008226,8580707127,34383896185,
%U A153266 137375707486,549921394029,2198589761115,8797227925378
%V A153266 13,-19,162,-423,2281,-7582,34365,-126891,535234,-2068495,8463633,
%W A153266 -33358014,134731957,-535524643,2151008226,-8580707127,34383896185,
%X A153266 -137375707486,549921394029,-2198589761115,8797227925378
%N A153266 a(n) = -4*a(n-3) + 11*a(n-2) - a(n-1), a(0) = 13, a(1) = -19, a(2) = 
               162
%C A153266 a(n) + A153267(n) = 4*A001519(n) (apart from initial terms). The generating 
               floretion Z = X*Y with X = 1.5'i + 0.5i' + .25(ii + jj + kk + ee) 
               and Y = 0.5'i + 1.5i' + .25(ii + jj + kk + ee)
%F A153266 a(n) = 2*(-4)^n + (-2/5*sqrt(5)-1)*(3/2+1/2*sqrt(5))^n + (2/5*sqrt(5)-1)*(3/
               2-1/2*sqrt(5))^n
%F A153266 a(n)=A001519(n+3)+8*(-4)^n. G.f.: (13-6x)/((1+4x)(1-3x+x^2)). [From R. 
               J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 05 2009]
%e A153266 a(4) = -1*(-423) + 11*162 - 4*(-19) = 2281
%Y A153266 A153267, A153265, A001519
%Y A153266 Sequence in context: A122042 A158332 A090258 this_sequence A166664 A147393 
               A088187
%Y A153266 Adjacent sequences: A153263 A153264 A153265 this_sequence A153267 A153268 
               A153269
%K A153266 easy,sign
%O A153266 0,1
%A A153266 Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jan 02 2009