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Search: id:A089126
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| A089126 |
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a(n+2) = F(n+1)*a(n+1) + F(n)*a(n) where F(n) = Fibonacci number (A000045), a(0) = a(1) = 1. |
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+0
2
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| 1, 1, 1, 2, 5, 19, 110, 975, 13555, 297330, 10393875, 581772345, 52349401830, 7590091602225, 1776029657181945, 671331672100911690, 410181883162313724165, 405259031001185201881755
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OFFSET
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0,4
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FORMULA
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Floor(a(n)/a(n-1)) = F(n-1) where F(n) = Fibonacci number - Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Jul 17 2004
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MATHEMATICA
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y[n_] := y[n] = Fibonacci[n - 1]y[n - 1] + Fibonacci[n - 2]y[n - 2] y[0] = 1 y[1] = 1
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CROSSREFS
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Sequence in context: A093502 A009311 A107882 this_sequence A113346 A054926 A002786
Adjacent sequences: A089123 A089124 A089125 this_sequence A089127 A089128 A089129
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KEYWORD
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nonn
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AUTHOR
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Emanuele Munarini (munarini(AT)mate.polimi.it), Dec 05 2003
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