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A294410 Expansion of 1/(1 - x/(1 - x/(1 - 2*x^2/(1 - 2*x^2/(1 - 3*x^3/(1 - 3*x^3/(1 - ...))))))), a continued fraction. 0
1, 1, 2, 4, 10, 24, 64, 164, 440, 1164, 3128, 8368, 22552, 60624, 163528, 440768, 1189616, 3210000, 8667296, 23400304, 63196192, 170668608, 460972768, 1245085184, 3363190688, 9084616128, 24540062528, 66289885504, 179071151872, 483733046208, 1306740302848, 3529993576448, 9535868752256 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..32.

MATHEMATICA

nmax = 32; CoefficientList[Series[1/(1 + ContinuedFractionK[-Floor[(k + 1)/2] x^Floor[(k + 1)/2], 1, {k, 1, nmax}]), {x, 0, nmax}], x]

CROSSREFS

Cf. A000142, A006958, A088357.

Sequence in context: A303840 A132220 A007874 * A121704 A049144 A336419

Adjacent sequences:  A294407 A294408 A294409 * A294411 A294412 A294413

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Oct 30 2017

STATUS

approved

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Last modified April 16 05:26 EDT 2021. Contains 343030 sequences. (Running on oeis4.)