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%I #6 Sep 25 2016 15:56:29
%S 1,2,3,8,25,66,357,1968,8073,135260,1271941,7376172,113614228,
%T 1258281038,8941092630
%N Limit of the coefficient of x^(3^m + n) in B(x)^(n+1) as m grows, where B(x) = Sum_{k>=0} x^(3^k).
%C The g.f. of A277041(n) = a(n)/(n+1) appears to have an interesting functional interpretation.
%F a(n) = (n+1)*A277041(n).
%o (PARI) { a(n) = local(m=n + ceil(log(n+3)/log(3)), B=sum(k=0, m, x^(3^k))); polcoeff((B+O(x^(3^m+n+1)))^(n+1), 3^m+n) }
%o for(n=0,15,print1(a(n),", "))
%Y Cf. A144690, A277041, A277042, A277043.
%K nonn,more
%O 0,2
%A _Paul D. Hanna_, Sep 25 2016
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