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Search: id:A099133
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| 0, 1, 4, 32, 192, 1280, 8192, 53248, 344064, 2228224, 14417920, 93323264, 603979776, 3909091328, 25300041728, 163745628160, 1059783180288, 6859062771712, 44392781971456, 287316132233216, 1859549040476160
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OFFSET
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0,3
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COMMENT
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Binomial transfor of A099134. Second binomial transform of x/(1-20x^2), or (0,1,0,20,0,400,0,8000,....). In general k^(n-1)*Fib(n) has g.f. x/(1-kx-k^2x^2).
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FORMULA
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G.f.: x/(1-4x-16x^2); a(n)=4a(n-1)+16a(n-2); a(n)=(2+2sqrt(5))^n/(4sqrt(5))-(2-sqrt(5))^n/(4sqrt(5)).
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CROSSREFS
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Cf. A000045, A099012, A085449.
Sequence in context: A113154 A083299 A018215 this_sequence A043018 A002012 A133642
Adjacent sequences: A099130 A099131 A099132 this_sequence A099134 A099135 A099136
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Sep 29 2004
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