A293854 - OEIS

A293854

G.f. A(x) = Sum_{n>=0} a(n)*x^n satisfies A(x) = 1/(1 - a(0)*x - a(0)*x^2/(1 - a(1)*x - a(1)*x^2/(1 - a(2)*x - a(2)*x^2/(1 - ... )))), a continued fraction.

1, 1, 2, 4, 9, 22, 59, 177, 611, 2516, 12920, 86365, 776624, 9657931, 169092427, 4225447537, 154124945314, 8322768187672, 682155062207265, 87453058120694362, 17875236303587679031, 6127017505201742648325, 3596451909621665099998347

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..22.

EXAMPLE

G.f. = 1 + x + 2*x^2 + 4*x^3 + 9*x^4 + 22*x^5 + 59*x^6 + ... = 1/(1 - x - x^2/(1 - x - x^2/(1 - 2*x - 2*x^2/(1 - 4*x - 4*x^2/(1 - 9*x - 9*x^2/(1 - 22*x - 22*x^2/(1 - 59*x - 59*x^2/(1 - ...)))))))).

CROSSREFS

Cf. A213435, A291419.

Sequence in context: A187044 A193361 A294281 * A271078 A292790 A278691

Adjacent sequences: A293851 A293852 A293853 * A293855 A293856 A293857

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Oct 17 2017

STATUS

approved