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Search: id:A086344
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| A086344 |
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a(n)=-2a(n-1)+4a(n-2), a(0)=1,a(1)=0. |
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+0
1
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| 1, 0, 4, -8, 32, -96, 320, -1024, 3328, -10752, 34816, -112640, 364544, -1179648, 3817472, -12353536, 39976960, -129368064, 418643968, -1354760192, 4384096256, -14187233280, 45910851584, -148570636288, 480784678912, -1555851902976, 5034842521600
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Inverse binomial transform of (1,1,5,5,25,25,.....)
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FORMULA
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G.f.: (1+2x)/((1+(1+sqrt(5))x)(1+(1-sqrt(5))x)); E.g.f. : exp(-x)(cosh(sqrt(5)x)+sinh(sqrt(5)x)/sqrt(5)); a(n)=(sqrt(5)-1)^n(sqrt(5)/10+1/2)+(-sqrt(5)-1)^n(1/2-sqrt(5)/10).
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CROSSREFS
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Sequence in context: A050442 A094015 A094867 this_sequence A068205 A113479 A103970
Adjacent sequences: A086341 A086342 A086343 this_sequence A086345 A086346 A086347
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KEYWORD
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easy,sign
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 17 2003
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