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Re:"Embarrassing" open problems in maths by bobby07 on Monday October 17, 2011 @03:16PM (#3121963)
I have just found and entry on OEIS for the general formula for the first problem. http://oeis.org/A000055

G.f.: A(x) = 1 + T(x)-T^2(x)/2+T(x^2)/2, where T(x) = x + x^2 + 2*x^3 + … is g.f. for A000081

I havent checked it, I presume its wrong tho?

Re:"Embarrassing" open problems in maths by Someone on Monday October 17, 2011 @04:59PM (#3122439)
The original article asks for a closed-form solution. "Closed-form" is not precisely defined (http://en.wikipedia.org/wiki/Closed-form_expression, http://...), but I do not think anybody would call that a closed-form solution.