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 A292802 #4 Sep 25 2017 13:08:18
%S A292802 1,0,1,1,1,2,2,3,5,5,10,11,17,25,31,50,64,93,134,178,266,360,512,731,
%T A292802 1001,1447,2003,2829,4011,5575,7939,11097,15634,22085,30909,43724,
%U A292802 61369,86389,121810,171007,241216,339125,477292,672364,945252,1331677,1873473,2636704,3712653
%N A292802 Expansion of 1/(1 - x^2 - x^3/(1 - x^5 - x^7/(1 - x^11 - x^13/(1 - ... - x^prime(2*k)/(1 - x^prime(2*k+1) - ...))))), a continued fraction.
%t A292802 nmax = 48; CoefficientList[Series[1/(1 - x^2 + ContinuedFractionK[-x^Prime[2 k], 1 - x^Prime[2 k + 1], {k, 1, nmax}]), {x, 0, nmax}], x]
%Y A292802 Cf. A000040, A088352, A285407, A292800, A292801.
%K A292802 nonn
%O A292802 0,6
%A A292802 _Ilya Gutkovskiy_, Sep 23 2017