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A145617
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.
1
55, 8365, 209195, 73218955, 5491423277, 1510141416085, 490795960391965, 24539798019883535, 10429414158454786655, 4953971725266096561953, 11259026648332043641555, 6473940322790925219990095
OFFSET
1,1
COMMENTS
For denominators see A145618. For general properties of A_l(x) see A145609.
MATHEMATICA
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 *)
a[n_, m_]:=Integrate[(m-x^n)/(m-x), {x, 0, 1}]+(m^n-m)Log[m/(m-1)]
Table[5 a[2 n, 5] // FullSimplify // Numerator, {n, 1, 25}] (* Gerry Martens , Jun 04 2016 *)
CROSSREFS
Sequence in context: A004708 A269500 A090813 * A105842 A113632 A202161
KEYWORD
frac,nonn
AUTHOR
Artur Jasinski, Oct 14 2008
EXTENSIONS
Edited by R. J. Mathar, Aug 21 2009
STATUS
approved