A292801 - OEIS

A292801

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, 0, -3, -1, 3, 4, -3, -7, -1, 11, 6, -10, -17, 8, 26, 8, -40, -28, 33, 71, -19, -99, -49, 141, 125, -99, -285, 30, 371, 253, -492, -541, 263, 1122, 57, -1352, -1197, 1672, 2260, -548, -4345, -871, 4804, 5387, -5475, -9182, 294, 16526, 5725, -16587, -23366

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OFFSET

0,6

LINKS

Table of n, a(n) for n=0..55.

MATHEMATICA

nmax = 55; 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, A092869, A111374, A285407, A292802, A292803.

Sequence in context: A211857 A292803 A348712 * A353396 A355533 A355528

Adjacent sequences: A292798 A292799 A292800 * A292802 A292803 A292804

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Sep 23 2017

STATUS

approved