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A308745 Expansion of 1/(1 - x*(1 + x)/(1 - x^2*(1 + x^2)/(1 - x^3*(1 + x^3)/(1 - x^4*(1 + x^4)/(1 - ...))))), a continued fraction. 0
1, 1, 2, 4, 8, 17, 36, 76, 161, 342, 726, 1542, 3276, 6960, 14788, 31422, 66767, 141872, 301464, 640584, 1361188, 2892417, 6146164, 13060136, 27751818, 58970564, 125308114, 266270558, 565805452, 1202295228, 2554789536, 5428741218, 11535678790, 24512475453 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..33.

FORMULA

From Vaclav Kotesovec, Jun 25 2019: (Start)

a(n) ~ c * d^n, where

d = 2.124927028900893046638236231387101475346473032396641627320401...

c = 0.386397654364351443933577245182777062935616240164642598839093... (End)

MATHEMATICA

nmax = 33; CoefficientList[Series[1/(1 + ContinuedFractionK[-x^k (1 + x^k), 1, {k, 1, nmax}]), {x, 0, nmax}], x]

CROSSREFS

Cf. A005169, A053254, A092848, A143064.

Sequence in context: A292322 A008999 A052903 * A226729 A063457 A262735

Adjacent sequences:  A308742 A308743 A308744 * A308746 A308747 A308748

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jun 21 2019

STATUS

approved

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Last modified September 21 11:18 EDT 2019. Contains 327253 sequences. (Running on oeis4.)