A145619 Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=6.
39, 2835, 255191, 257233353, 2315100338, 1833559470601, 429052916136639, 123567239847463143, 56717363089986833887, 2586311756903401044465, 46553611624261219442817, 154185561699553158848604845
Offset: 1
Programs
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Mathematica
m = 6; 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 *) a[n_,m_]:=Integrate[(m-x^n)/(m-x),{x,0,1}]+(m^n-m)Log[m/(m-1)] Table[6 a[2 n, 6] // FullSimplify // Numerator, {n,1,25}] (* Gerry Martens , Jun 04 2016 *)
Extensions
Edited by R. J. Mathar, Aug 21 2009
Comments