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.
1, 0, 1, 1, 1, 2, 2, 3, 5, 5, 10, 11, 17, 25, 31, 50, 64, 93, 134, 178, 266, 360, 512, 731, 1001, 1447, 2003, 2829, 4011, 5575, 7939, 11097, 15634, 22085, 30909, 43724, 61369, 86389, 121810, 171007, 241216, 339125, 477292, 672364, 945252, 1331677, 1873473, 2636704, 3712653
Offset: 0
Keywords
Programs
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Mathematica
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]