A238435 Expansion of 1/G(1) where G(k) = 1 - (q/(1-q))^k / G(k+1).

1, 1, 2, 5, 13, 34, 90, 241, 650, 1760, 4777, 12989, 35369, 96419, 263071, 718215, 1961708, 5359970, 14648860, 40043679, 109479810, 299356896, 818630450, 2238827146, 6123220904, 16747896604, 45809670800, 125304652189, 342758051845, 937597571659, 2564790809491, 7016051357877, 19192778123621, 52503269515758

Offset

0,3

Comments

What does this sequence count?

Links

Table of n, a(n) for n=0..33.

Prog

(PARI)
N = 66;  q = 'q + O('q^N);
G(k) = if(k>N, 1,  1 - (q/(1-q))^k / G(k+1) );
Vec( 1/G(1) )

Crossrefs

Cf. A238436: 1/G(1) where G(k) = 1 - (q*(1+q))^k / G(k+1).

Cf. A238437: 1/G(1) where G(k) = 1 - (q^k/(1-q^k)) / G(k+1).

Sequence in context: A006801 A329674 A114173 * A023425 A304173 A217896

Adjacent sequences: A238432 A238433 A238434 * A238436 A238437 A238438

Keyword

nonn

Author

Joerg Arndt, Feb 27 2014

Status

approved