1,1

For denominators see A145630. For general properties of A_l(x) see A145609.

Table of n, a(n) for n=1..11.

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 *)

a[n_, m_]:=Integrate[(m-x^n)/(m-x), {x, 0, 1}]+(m^n-m)Log[m/(m-1)]

Table[11 a[2 n, 11] // FullSimplify // Numerator, {n, 1, 25}] (* Gerry Martens , Jun 04 2016*)

Cf. A145609 - A145640.

Sequence in context: A006060 A077695 A253880 * A237419 A243666 A243687

Adjacent sequences: A145625 A145626 A145627 * A145629 A145630 A145631

frac,nonn

Artur Jasinski, Oct 14 2008

Edited by R. J. Mathar, Aug 21 2009

approved