%I A135922
%S A135922 1,1,2,6,26,158,1330,15414,245578,5382862,162700898,6801417318,
%T A135922 394502066810,31849226170622,3589334331706258,566102993389615254,
%U A135922 125225331231990004138,38920655753545108286254
%N A135922 Inverse binomial transform of A006116, which is the sum of Gaussian binomial 
               coefficients [n,k] for q=2.
%F A135922 O.g.f.: A(x) = Sum_{n>=0} x^n / Product_{k=0..n} (1 - (2^k-1)*x).
%e A135922 O.g.f.: A(x) = 1 + x/(1-x) + x^2/((1-x)*(1-3x)) + x^3/((1-x)*(1-3x)*(1-7x)) 
               + x^4/((1-x)*(1-3x)*(1-7x)*(1-15x)) + ...
%o A135922 (PARI) a(n)=polcoeff(sum(k=0, n, x^k/prod(j=0, k, 1-(2^j-1)*x+x*O(x^n))), 
               n)
%Y A135922 Cf. A006116.
%Y A135922 Sequence in context: A099758 A099760 A112934 this_sequence A103367 A047863 
               A141713
%Y A135922 Adjacent sequences: A135919 A135920 A135921 this_sequence A135923 A135924 
               A135925
%K A135922 nonn
%O A135922 0,3
%A A135922 Paul D. Hanna (pauldhanna(AT)juno.com), Dec 06 2007