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.
%I A034772 #10 Sep 11 2019 05:16:45 %S A034772 1,3,4,8,7,18,15,34,41,71,91,182,235,409,628,1047,1599,2685,4183,6906, %T A034772 10980,17895,28659,46756,75038,121865,196496,318620,514231,833426, %U A034772 1346271,2180369,3524764,5706087,9227505,14935978,24157819,39096537 %N A034772 Dirichlet convolution of d(n) (number of divisors) with Fibonacci numbers. %F A034772 G.f.: Sum_{k>=1} d(k) * x^k/(1 - x^k - x^(2*k)). - _Ilya Gutkovskiy_, Jul 23 2019 %F A034772 a(n) ~ ((1+sqrt(5))/2)^n / sqrt(5). - _Vaclav Kotesovec_, Sep 11 2019 %t A034772 Table[Sum[Fibonacci[n/d]*DivisorSigma[0, d], {d, Divisors[n]}], {n, 1, 40}] (* _Vaclav Kotesovec_, Sep 10 2019 *) %Y A034772 Cf. A000005, A000045. %K A034772 nonn %O A034772 1,2 %A A034772 _Erich Friedman_