A238437 - OEIS

%I #7 Mar 01 2014 09:31:42

%S 1,1,2,5,11,26,60,140,325,758,1764,4110,9573,22302,51953,121035,

%T 281967,656894,1530351,3565236,8305876,19350101,45079691,105021642,

%U 244667733,569999699,1327922000,3093645310,7207231567,16790608551,39116897242,91130208230,212305051009,494604759540,1152275309042

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

%C What does this sequence count?

%o (PARI)

%o N = 66;  q = 'q + O('q^N);

%o G(k) = if(k>N, 1,  1 - (q^k/(1-q^k)) / G(k+1) );

%o Vec( 1/G(1) )

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

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

%K nonn

%O 0,3

%A _Joerg Arndt_, Feb 27 2014