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%I #11 Jun 05 2016 23:33:24
%S 55,8365,209195,73218955,5491423277,1510141416085,490795960391965,
%T 24539798019883535,10429414158454786655,4953971725266096561953,
%U 11259026648332043641555,6473940322790925219990095
%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=5.
%C For denominators see A145618. For general properties of A_l(x) see A145609.
%t m = 5; 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[5 a[2 n, 5] // 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
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