A296202 Expansion of 1/(1 + x/(1 + x/(1 + x^2/(1 + x/(1 + x^3/(1 + x/(1 + x^4/(1 + ...)))))))), a continued fraction.

1, -1, 2, -4, 7, -11, 16, -22, 28, -30, 18, 29, -152, 427, -988, 2060, -4002, 7354, -12868, 21472, -34054, 50838, -69920, 84186, -75275, 2395, 217417, -742554, 1860191, -4067099, 8183154, -15493168, 27886577, -47905049, 78485095, -121944988, 177329498, -234464309, 261801461, -183121605, -164852147

Offset

0,3

Links

Table of n, a(n) for n=0..40.

Mathematica

nmax = 40; CoefficientList[Series[1/(1 + ContinuedFractionK[x^(1 + k (1 + (-1)^k)/4), 1, {k, 0, nmax}]), {x, 0, nmax}], x]

Crossrefs

Cf. A007325, A092869, A129509, A292799, A292854, A296201.

Sequence in context: A083204 A061784 A005311 * A126613 A024224 A025727

Adjacent sequences: A296199 A296200 A296201 * A296203 A296204 A296205

Keyword

sign

Author

Ilya Gutkovskiy, Dec 07 2017

Status

approved