A292869 Expansion of 1/(1 + x + x^2 + x^3/(1 + x^4 + x^5 + x^6/(1 + x^7 + x^8 + x^9/(1 + ...)))), a continued fraction.

1, -1, 0, 0, 1, -1, 0, 1, 0, -1, -1, 2, -1, -1, 1, 3, -2, -2, 2, 1, -5, -1, 7, 1, -5, 2, 7, -9, -10, 6, 10, -10, 2, 22, 2, -29, -6, 18, -19, -22, 39, 52, -30, -27, 32, -19, -108, -2, 125, 29, -43, 101, 90, -215, -231, 83, 89, -126, 186, 522, 28, -523, -167, 18, -598, -336, 1042, 1134, -165, -132, 401

Offset

0,12

Links

Table of n, a(n) for n=0..70.

Mathematica

nmax = 70; CoefficientList[Series[1/(1 + x + x^2 + ContinuedFractionK[x^(3 k - 3), 1 + x^(3 k - 2) + x^(3 k - 1), {k, 2, nmax}]), {x, 0, nmax}], x]

Crossrefs

Cf. A088353, A092869.

Sequence in context: A304717 A110963 A292622 * A106348 A161092 A029332

Adjacent sequences: A292866 A292867 A292868 * A292870 A292871 A292872

Keyword

sign

Author

Ilya Gutkovskiy, Sep 25 2017

Status

approved