A306575 Expansion of 1/(1 - x - x^2/(1 - x^2 - x^3/(1 - x^3 - x^4/(1 - x^4 - x^5/(1 - ...))))), a continued fraction.

1, 1, 2, 3, 6, 11, 21, 40, 77, 148, 285, 550, 1061, 2049, 3957, 7644, 14768, 28535, 55138, 106549, 205902, 397906, 768967, 1486070, 2871932, 5550233, 10726300, 20729542, 40061784, 77423250, 149628008, 289170949, 558851751, 1080037175, 2087280839, 4033881485

Offset

0,3

Links

Table of n, a(n) for n=0..35.

Formula

a(n) ~ c * d^n, where d = 1.9326019136649450138850556203... and c = 0.389707331111778150048054243... - Vaclav Kotesovec, Jul 01 2019

Mathematica

nmax = 35; CoefficientList[Series[1/(1 - x + ContinuedFractionK[-x^k, 1 - x^k, {k, 2, nmax}]), {x, 0, nmax}], x]

Crossrefs

Cf. A029838, A083365, A088352.

Sequence in context: A109222 A191789 A371790 * A006861 A052956 A351972

Adjacent sequences: A306572 A306573 A306574 * A306576 A306577 A306578

Keyword

nonn

Author

Ilya Gutkovskiy, Jun 25 2019

Status

approved