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

Author

Ilya Gutkovskiy, Sep 23 2017

Keywords

• nonn

Crossrefs

Cf. A000040, A088352, A285407, A292800, A292801.

Programs

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]