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A088355 G.f.: A(x) = 1/(1-x - x/(1-x - x^2/(1-x - x^3/(1-x - x^4/(1-x - x^5/(...)))))), a continued fraction. 3
1, 2, 5, 14, 41, 122, 366, 1103, 3332, 10078, 30503, 92360, 279722, 847283, 2566640, 7775383, 23555412, 71361969, 216195801, 654983362, 1984334264, 6011741892, 18213205238, 55178866432, 167170395758, 506461095121, 1534379837420, 4648573702811, 14083369899731, 42667133594949 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

a(n) ~ c * d^n, where d = 3.0296112619721892426435033662444766469370800620363379560921091791758304730314... and c = 0.46759853331494118178113003272909690207439354761370218749894486984354... - Vaclav Kotesovec, Sep 24 2017

MATHEMATICA

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

PROG

(PARI) N = 66;  q = 'q + O('q^N);

G(k) = if(k>N, 1, 1/( 1 - q - q^(k+1)*G(k+1)) );

gf = G(0); Vec(gf) \\ Joerg Arndt, Jun 29 2013

CROSSREFS

Sequence in context: A123183 A007051 A124302 * A113485 A326254 A054391

Adjacent sequences:  A088352 A088353 A088354 * A088356 A088357 A088358

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Sep 26 2003

EXTENSIONS

Added more terms, Joerg Arndt, Jun 29 2013

STATUS

approved

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Last modified October 18 17:07 EDT 2019. Contains 328186 sequences. (Running on oeis4.)