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.

A034745 Dirichlet convolution of Fibonacci numbers with 3^(n-1).

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%I A034745 #10 Sep 11 2019 05:11:12
%S A034745 1,4,11,33,86,266,742,2244,6613,19834,59138,177639,531674,1595468,
%T A034745 4783786,14352225,43048318,129149968,387424670,1162288458,3486796922,
%U A034745 10460430230,31381088266,94143408282,282429611911,847289262976
%N A034745 Dirichlet convolution of Fibonacci numbers with 3^(n-1).
%F A034745 G.f.: Sum_{k>=1} 3^(k-1) * x^k/(1 - x^k - x^(2*k)). - _Ilya Gutkovskiy_, Jul 24 2019
%F A034745 a(n) ~ 3^(n-1). - _Vaclav Kotesovec_, Sep 11 2019
%t A034745 Table[Sum[Fibonacci[n/d]*3^(d - 1), {d, Divisors[n]}], {n, 1, 25}] (* _Vaclav Kotesovec_, Sep 10 2019 *)
%Y A034745 Cf. A000045, A133494.
%K A034745 nonn
%O A034745 1,2
%A A034745 _Erich Friedman_