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%I #2 Mar 30 2012 18:37:21
%S 1,3,9,18,54,162,405,1215,3645,11907,35721,107163,279936,839808,
%T 2519424,6948099,20844297,62532891,199762767,599288301,1797864903,
%U 4931772480,14795317440,44385952320,125801650638,377404951914,1132214855742
%N G.F.: exp( Sum_{n>=1} A014578(n)*(3x)^n/n ), where A014578 is the binary expansion of Thue constant.
%C Conjectured to consist entirely of integers.
%o (PARI) {a(n)=if(n==0,1,polcoeff(exp(sum(m=1,n,sum(k=0,ceil(log(m)/log(3)),(-1)^k*(floor(m/3^k)-floor((m-1)/3^k)))*(3*x)^m/m)+x*O(x^n)),n))}
%Y Cf. A014578.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Mar 28 2010
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