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Search: id:A005444
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| A005444 |
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From a Fibonacci-like differential equation.
(Formerly M2766)
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+0
1
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| 1, 1, 3, 8, 50, 214, 2086, 11976, 162816, 1143576, 20472504, 165910128, 3785092032, 33908109936, 967508478192, 9252123203712, 327062428940160, 3236057604910080, 141403289873955840, 1404243298160352000, 76168955916831029760, 735206146073008508160
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Sequence is signed: first negative term is a(35) = -230450728485788167742674544892530875760640. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 29 2003
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REFERENCES
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P. R. J. Asveld, Fibonacci-like differential equations with a polynomial nonhomogeneous term, Fib. Quart. 27 (1989), 303-309.
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FORMULA
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a(n) = Sum(k!*fibonacci(k + 1)*stirling1(n, k), k = 0 .. n).
E.g.f.: 1/(1-ln(1+x)-ln(1+x)^2). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 29 2003
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CROSSREFS
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Sequence in context: A003216 A019015 A000862 this_sequence A019044 A019035 A026088
Adjacent sequences: A005441 A005442 A005443 this_sequence A005445 A005446 A005447
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KEYWORD
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nonn,easy
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AUTHOR
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Simon Plouffe (plouffe(AT)math.uqam.ca), njas
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