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A005445 From a Fibonacci-like differential equation.
(Formerly M4487)
+0
1
0, 1, 1, 8, 16, 224, 608, 13320, 41760, 1366152, 4440312, 215100192, 655723440, 48242081328, 121651212720, 14627299801728, 24367884018048, 5768946415383552, 2780730890516736, 2872938805170308352, -2941729703083507968, 1764460446550873413120 (list; graph; listen)
OFFSET

0,4

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

P. R. J. Asveld, Fibonacci-like differential equations with a polynomial nonhomogeneous term, Fib. Quart. 27 (1989), 303-309.

FORMULA

E.g.f.: ln(1+x)/(1-ln(1+x)-ln(1+x)^2). a(n) = Sum_{k=0..n} Stirling1(n, k)*k!*Fibonacci(k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 29 2003

CROSSREFS

Sequence in context: A080452 A107906 A061359 this_sequence A132377 A061747 A109585

Adjacent sequences: A005442 A005443 A005444 this_sequence A005446 A005447 A005448

KEYWORD

sign

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 29 2003

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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