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A112006 A logarithmic transform of the Fibonacci numbers A000045. 1

%I #13 Jul 11 2020 11:01:26

%S 0,1,2,7,32,194,1473,13424,142722,1734155,23704880,360035434,

%T 6015135425,109631190368,2164636394634,46027826357795,

%U 1048622566013472,25482771281706578,657965393430769025,17988006311731338448

%N A logarithmic transform of the Fibonacci numbers A000045.

%H <a href="/index/Lo#logarithmic">Index entries for sequences related to logarithmic numbers</a>

%F 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.

%F a(n) = Fibonacci(n) + Sum_{k=1..n-1} binomial(n-1,k-1) * a(k) * Fibonacci(n-k). - _Ilya Gutkovskiy_, Jul 11 2020

%Y Cf. A000045, A007553, A112005.

%K nonn,easy

%O 0,3

%A _Wolfdieter Lang_, Sep 12 2005

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)