OFFSET
1,1
MAPLE
A := proc(l, x) add(x^(l-d)/d, d=1..l-1) ; end: A145613 := proc(n) numer( A(2*n+1, 3)) ; end: seq(A145613(n), n=1..20) ; # R. J. Mathar, Aug 21 2009
MATHEMATICA
m = 3; 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[3 a[2 n, 3] //FullSimplify //Numerator, {n, 1, 10}] (* Gerry Martens , Jun 04 2016 *)
CROSSREFS
KEYWORD
frac,nonn
AUTHOR
Artur Jasinski, Oct 14 2008
EXTENSIONS
Edited by R. J. Mathar, Aug 21 2009
STATUS
approved