A112006 A logarithmic transform of the Fibonacci numbers A000045.

0, 1, 2, 7, 32, 194, 1473, 13424, 142722, 1734155, 23704880, 360035434, 6015135425, 109631190368, 2164636394634, 46027826357795, 1048622566013472, 25482771281706578, 657965393430769025, 17988006311731338448

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 * A348105 A067551 A080119

Adjacent sequences: A112003 A112004 A112005 * A112007 A112008 A112009

Keyword

nonn,easy

Author

Wolfdieter Lang, Sep 12 2005

Status

approved