cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A112006 A logarithmic transform of the Fibonacci numbers A000045.

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%I A112006 #13 Jul 11 2020 11:01:26
%S A112006 0,1,2,7,32,194,1473,13424,142722,1734155,23704880,360035434,
%T A112006 6015135425,109631190368,2164636394634,46027826357795,
%U A112006 1048622566013472,25482771281706578,657965393430769025,17988006311731338448
%N A112006 A logarithmic transform of the Fibonacci numbers A000045.
%H A112006 <a href="/index/Lo#logarithmic">Index entries for sequences related to logarithmic numbers</a>
%F A112006 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 A112006 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 A112006 Cf. A000045, A007553, A112005.
%K A112006 nonn,easy
%O A112006 0,3
%A A112006 _Wolfdieter Lang_, Sep 12 2005