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A296201 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, 1, 2, 4, 9, 21, 50, 120, 290, 704, 1714, 4181, 10212, 24965, 61070, 149458, 365888, 895932, 2194178, 5374262, 13164426, 32248616, 79002180, 193544446, 474168003, 1161691893, 2846131055, 6973047572, 17084140245, 41856763371, 102550935614, 251254982356, 615588531011, 1508227753087, 3695249380509 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..34.

MATHEMATICA

nmax = 34; CoefficientList[Series[1/(1 + ContinuedFractionK[-x^(1 + k (1 + (-1)^k)/4), 1, {k, 0, nmax}]), {x, 0, nmax}], x]

CROSSREFS

Cf. A004148, A005169, A023432, A088354, A088355, A296202.

Sequence in context: A018905 A024537 A171842 * A027826 A261664 A091964

Adjacent sequences:  A296198 A296199 A296200 * A296202 A296203 A296204

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Dec 07 2017

STATUS

approved

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Last modified February 28 01:30 EST 2020. Contains 332319 sequences. (Running on oeis4.)