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 A293636 #5 Oct 13 2017 21:40:45
%S A293636 1,1,3,6,12,21,39,66,114,192,324,531,888,1452,2382,3891,6363,10329,
%T A293636 16833,27303,44349,71907,116625,188859,306114,495615,802632,1299255,
%U A293636 2103504,3404259,5510376,8917248,14431590,23353131,37791414,61150962,98953434,160115403,259085673,419218803
%N A293636 a(1) = a(2) = 1; a(n) = ( Sum_{i|(n-1)} a(i) ) + Sum_{j|(n-2)} a(j).
%F A293636 a(n) ~ c*phi^n, where phi is the golden ratio (A001622) and c = 1.83226227102725... (conjecture).
%t A293636 a[n_] := a[n] = Sum[a[i], {i, Divisors[n - 1]}] + Sum[a[j], {j, Divisors[n - 2]}]; a[1] = a[2] = 1; Table[a[n], {n, 1, 40}]
%Y A293636 Cf. A000045, A001622, A003238, A007439.
%K A293636 nonn
%O A293636 1,3
%A A293636 _Ilya Gutkovskiy_, Oct 13 2017