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A112006 A logarithmic transform of the Fibonacci numbers A000045. 1
0, 1, 2, 7, 32, 194, 1473, 13424, 142722, 1734155, 23704880, 360035434, 6015135425, 109631190368, 2164636394634, 46027826357795, 1048622566013472, 25482771281706578, 657965393430769025, 17988006311731338448 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..19.

Index entries for sequences related to logarithmic numbers

FORMULA

E.g.f.: -log(1 - A(x)) with the e.g.f. A(x):=exp(x/2)*sinh(sqrt(5)*x/2)/(sqrt(5)/2) of A000045.

a(n) = Fibonacci(n) + Sum_{k=1..n-1} binomial(n-1,k-1) * a(k) * Fibonacci(n-k). - Ilya Gutkovskiy, Jul 11 2020

CROSSREFS

Cf. A000045, A007553, A112005.

Sequence in context: A195983 A079265 A270229 * A067551 A080119 A162257

Adjacent sequences:  A112003 A112004 A112005 * A112007 A112008 A112009

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Sep 12 2005

STATUS

approved

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Last modified May 18 15:25 EDT 2021. Contains 343995 sequences. (Running on oeis4.)