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A292799 Expansion of 1/(1 + x + x/(1 + x + x^2/(1 + x + x^3/(1 + x + x^4/(1 + x + x^5/(1 + ...)))))), a continued fraction. 2
1, -2, 5, -12, 27, -58, 120, -239, 456, -826, 1397, -2130, 2666, -1727, -4308, 24597, -80658, 220301, -544803, 1259278, -2760324, 5775490, -11553490, 22039330, -39774088, 66751007, -100238388, 120817159, -61934817, -261953355, 1315627072, -4183664882, 11262428169, -27602763180 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..1000

MATHEMATICA

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

nmax = 40; CoefficientList[Series[1/Fold[(1 + x + #2/#1) &, 1, Reverse[x^Range[nmax]]], {x, 0, nmax}], x] (* Vaclav Kotesovec, Sep 24 2017 *)

CROSSREFS

Cf. A088355.

Sequence in context: A288811 A288897 A290292 * A111000 A328882 A000325

Adjacent sequences:  A292796 A292797 A292798 * A292800 A292801 A292802

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Sep 23 2017

STATUS

approved

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Last modified November 20 20:28 EST 2019. Contains 329347 sequences. (Running on oeis4.)