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Search: id:A000556
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| A000556 |
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Expansion of exp(-x) / [ 1 - exp(x) + exp(-x) ].
(Formerly M3966 N1638)
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+0
2
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| 1, 1, 5, 31, 257, 2671, 33305, 484471, 8054177, 150635551, 3130337705, 71556251911, 1784401334897, 48205833997231, 1402462784186105, 43716593539939351, 1453550100421124417, 51350258701767067711, 1920785418183176050505
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
G. Ledin, On a certain kind of Fibonacci sums, Fib. Quart., 5 (1967), 45-58.
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FORMULA
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Sum(k!*fibonacci(k + 1)*stirling2(n, k), k = 0 .. n).
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CROSSREFS
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John Layman (layman(AT)calvin.math.vt.edu) observes that this is also Sum (-2)^k*binomial(n, k)*b(n-k), where b() = A005923.
Cf. A005923.
Sequence in context: A056541 A126121 A167137 this_sequence A125598 A058892 A056187
Adjacent sequences: A000553 A000554 A000555 this_sequence A000557 A000558 A000559
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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