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 A309026 #7 Jul 07 2019 20:20:01
%S A309026 0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,3,
%T A309026 2,2,1,3,2,2,1,3,2,2,1,3,2,2,1,4,2,2,1,4,2,2,1,4,2,2,1,4,2,2,1,5,3,3,
%U A309026 2,4,2,2,1,5,3,3,2,4,2,2,1,6,3,4,2,4,2,2,1,6,3,4,2,4,2,2,1,7,4,4,2
%N A309026 Expansion of x * Product_{k>=0} (1 + x^(2^k) + x^(2^(k+4))).
%F A309026 a(n) = 0 for n <= 0, a(1) = 1; a(2*n) = a(n), a(2*n+1) = a(n-7) + a(n+1).
%t A309026 nmax = 100; CoefficientList[Series[x Product[(1 + x^(2^k) + x^(2^(k + 4))), {k, 0, Floor[Log[2, nmax]] + 1}], {x, 0, nmax}], x]
%Y A309026 Cf. A002487, A112970, A309025.
%K A309026 nonn
%O A309026 0,18
%A A309026 _Ilya Gutkovskiy_, Jul 07 2019