This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A140051 #2 Mar 30 2012 18:37:10
%S A140051 2,16,308,14488,1843232,714580528,917085102992,4076698622618144,
%T A140051 64300718807613519968,3649606003781552269341376,
%U A140051 752497581806524062754828125952,567745591696108934746387351412913664
%N A140051 L.g.f.: A(x) = log(G(x)) where G(x) = g.f. of A060690(n) = C(2^n+n-1,n).
%F A140051 L.g.f.: A(x) = log[ Sum_{n>=0} (-log(1 - 2^n*x))^n/n! ].
%e A140051 A(x) = 2*x + 16*x^2/2 + 308*x^3/3 + 14488*x^4/4 + 1843232*x^5/5 +...
%e A140051 A(x) = log(G(x)) where G(x) = g.f. of A060690:
%e A140051 G(x) = 1 + 2*x + 10*x^2 + 120*x^3 + 3876*x^4 +... + C(2^n+n-1,n)*x^n +...
%o A140051 (PARI) {a(n)=n*polcoeff(log(sum(k=0,n,binomial(2^k+k-1,k)*x^k)+x*O(x^n)),n)}
%Y A140051 Cf. A140050, A060690.
%K A140051 nonn
%O A140051 1,1
%A A140051 _Paul D. Hanna_, May 02 2008