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A153266
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a(n) = -4*a(n-3) + 11*a(n-2) - a(n-1), a(0) = 13, a(1) = -19, a(2) = 162
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3
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13, -19, 162, -423, 2281, -7582, 34365, -126891, 535234, -2068495, 8463633, -33358014, 134731957, -535524643, 2151008226, -8580707127, 34383896185, -137375707486, 549921394029, -2198589761115, 8797227925378
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OFFSET
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0,1
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COMMENTS
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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)
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LINKS
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FORMULA
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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
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EXAMPLE
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a(4) = -1*(-423) + 11*162 - 4*(-19) = 2281
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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STATUS
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approved
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