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Search: id:A153267
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| A153267 |
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a(n) = -4*a(n-3) + 11*a(n-2) - a(n-1), a(0) = -5, a(1) = 39, a(2) = -110 |
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+0
4
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| -5, 39, -110, 559, -1925, 8514, -31925, 133279, -518510, 2112279, -8349005, 33658114, -133946285, 537581559, -2145623150, 8594805439, -34346986325, 137472338754, -549668410085, 2199252081679, -8795493947630, 35185940486439
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OFFSET
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0,1
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COMMENT
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A153266(n) + a(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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FORMULA
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a(n) = 2*(-4)^n + 3/2+1/2*sqrt(5))^n + (3/2-1/2*sqrt(5))^n
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EXAMPLE
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a(4) = -1*559 + 11*(-110) - 4*(39) = -1925
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CROSSREFS
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A153266, A153265, A001519
Sequence in context: A110467 A095230 A171555 this_sequence A064445 A123614 A075135
Adjacent sequences: A153264 A153265 A153266 this_sequence A153268 A153269 A153270
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KEYWORD
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easy,sign
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jan 02 2009
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