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

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