A355046 Expansion of the continued fraction 1 / (1-q / (1-q-q^3 / (1-q-q^3-q^5 / (1-q-q^3-q^5-q^7 / (...))))).

1, 1, 2, 4, 9, 21, 49, 115, 271, 640, 1514, 3585, 8494, 20134, 47740, 113221, 268557, 637077, 1511402, 3585843, 8507837, 20186405, 47896899, 113648058, 269662860, 639857869, 1518267397, 3602589217, 8548353709, 20283885193, 48130511518, 114206363723, 270994509775, 643029572029

Offset: 0

Author

Joerg Arndt, Jun 16 2022

Keywords

• nonn

Crossrefs

Cf. A355040, A355043.

Programs

PARI

N=44; q='q+O('q^N);
f(n) = 1 - sum(k=1,n-1,q^(2*k-1));
s=1; forstep(j=N, 1, -1, s = q^(2*j-1)/s; s = f(j) - s ); s = 1/s
Vec(s)