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A000557 From Fibonacci sums.
(Formerly M1881 N0743)
+0
4
1, 2, 8, 50, 416, 4322, 53888, 783890, 13031936, 243733442, 5064992768, 115780447730, 2887222009856, 77998677862562, 2269232452763648, 70734934220015570, 2351893466832306176, 83086463910558199682, 3107896091715557654528, 122711086194279627711410 (list; graph; listen)
OFFSET

0,2

REFERENCES

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.

FORMULA

E.g.f.: 1/(1-2*sinh(x)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 06 2002

a(n) = Sum[k=0..n, k!*Stirling2(n, k)*Fibonacci(k+2)].

CROSSREFS

Sequence in context: A034491 A121677 A120956 this_sequence A002801 A089104 A050398

Adjacent sequences: A000554 A000555 A000556 this_sequence A000558 A000559 A000560

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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