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A307082 Expansion of 1/(1 - x/(1 - x/(1 - 2*x/(1 - 3*x/(1 - 5*x/(1 - 8*x/(1 - ... - Fibonacci(k)*x/(1 - ...)))))))), a continued fraction. 1
1, 1, 2, 6, 26, 164, 1540, 22068, 492616, 17378968, 977896328, 88256247312, 12819022165520, 3002745820555664, 1135759674922075168, 694219521332053782624, 686053892556368634929824, 1096476587053610841771551296, 2834651494015025836540377942080 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

MATHEMATICA

nmax = 18; CoefficientList[Series[1/(1 + ContinuedFractionK[-Fibonacci[k] x, 1, {k, 1, nmax}]), {x, 0, nmax}], x]

CROSSREFS

Cf. A000045, A206741, A307083.

Sequence in context: A180349 A141713 A005272 * A178089 A002449 A059430

Adjacent sequences:  A307079 A307080 A307081 * A307083 A307084 A307085

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Mar 23 2019

STATUS

approved

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Last modified April 9 20:34 EDT 2020. Contains 333362 sequences. (Running on oeis4.)