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%I #9 Jun 05 2016 23:34:25
%S 253,184195,111439537,188778591353,68526628697791,8291722072462741,
%T 13042878819984222253,3156376674436182358799,
%U 6492666819315227120658143,2985328203521141430107897005,361224712626058113043082041693
%N Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=11.
%C For denominators see A145630. For general properties of A_l(x) see A145609.
%t m = 11; aa = {}; Do[k = 0; Do[k = k + m^(2 r + 1 - d)/d, {d, 1, 2 r}]; AppendTo[aa, Numerator[k]], {r, 1, 25}]; aa (* _Artur Jasinski_ *)
%t a[n_,m_]:=Integrate[(m-x^n)/(m-x),{x,0,1}]+(m^n-m)Log[m/(m-1)]
%t Table[11 a[2 n, 11] // FullSimplify // Numerator, {n,1,25}] (* _Gerry Martens_ , Jun 04 2016*)
%Y Cf. A145609 - A145640.
%K frac,nonn
%O 1,1
%A _Artur Jasinski_, Oct 14 2008
%E Edited by _R. J. Mathar_, Aug 21 2009