A238437 Expansion of 1/G(1) where G(k) = 1 - (q^k/(1-q^k)) / G(k+1).

1, 1, 2, 5, 11, 26, 60, 140, 325, 758, 1764, 4110, 9573, 22302, 51953, 121035, 281967, 656894, 1530351, 3565236, 8305876, 19350101, 45079691, 105021642, 244667733, 569999699, 1327922000, 3093645310, 7207231567, 16790608551, 39116897242, 91130208230, 212305051009, 494604759540, 1152275309042

Offset

0,3

Comments

What does this sequence count?

Links

Table of n, a(n) for n=0..34.

Prog

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

Crossrefs

Cf. A238435: 1/G(1) where G(k) = 1 - (q/(1-q))^k / G(k+1).

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

Sequence in context: A064416 A006138 A291930 * A191692 A182015 A124217

Adjacent sequences: A238434 A238435 A238436 * A238438 A238439 A238440

Keyword

nonn

Author

Joerg Arndt, Feb 27 2014

Status

approved