A292802 - OEIS

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

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OFFSET

0,6

LINKS

Table of n, a(n) for n=0..48.

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]

CROSSREFS

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

Sequence in context: A110699 A035537 A285407 * A247376 A101779 A169891

Adjacent sequences: A292799 A292800 A292801 * A292803 A292804 A292805

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Sep 23 2017

STATUS

approved