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 A153266 a(n) = -4*a(n-3) + 11*a(n-2) - a(n-1), a(0) = 13, a(1) = -19, a(2) = 162 3
 13, -19, 162, -423, 2281, -7582, 34365, -126891, 535234, -2068495, 8463633, -33358014, 134731957, -535524643, 2151008226, -8580707127, 34383896185, -137375707486, 549921394029, -2198589761115, 8797227925378 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS 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) LINKS Index entries for linear recurrences with constant coefficients, signature (-1, 11, -4). FORMULA 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 a(n)=A001519(n+3)+8*(-4)^n. G.f.: (13-6x)/((1+4x)(1-3x+x^2)). [From R. J. Mathar, Jan 05 2009] EXAMPLE a(4) = -1*(-423) + 11*162 - 4*(-19) = 2281 CROSSREFS Sequence in context: A271926 A090258 A241246 * A166664 A147393 A088187 Adjacent sequences:  A153263 A153264 A153265 * A153267 A153268 A153269 KEYWORD easy,sign AUTHOR Creighton Dement, Jan 02 2009 STATUS approved

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Last modified October 14 14:39 EDT 2019. Contains 328019 sequences. (Running on oeis4.)