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%I #6 Mar 01 2014 09:30:54
%S 1,1,2,5,13,34,90,241,650,1760,4777,12989,35369,96419,263071,718215,
%T 1961708,5359970,14648860,40043679,109479810,299356896,818630450,
%U 2238827146,6123220904,16747896604,45809670800,125304652189,342758051845,937597571659,2564790809491,7016051357877,19192778123621,52503269515758
%N Expansion of 1/G(1) where G(k) = 1 - (q/(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/(1-q))^k / G(k+1) );
%o Vec( 1/G(1) )
%Y Cf. A238436: 1/G(1) where G(k) = 1 - (q*(1+q))^k / G(k+1).
%Y Cf. A238437: 1/G(1) where G(k) = 1 - (q^k/(1-q^k)) / G(k+1).
%K nonn
%O 0,3
%A _Joerg Arndt_, Feb 27 2014
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