A145628 Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=11.

253, 184195, 111439537, 188778591353, 68526628697791, 8291722072462741, 13042878819984222253, 3156376674436182358799, 6492666819315227120658143, 2985328203521141430107897005, 361224712626058113043082041693

Offset

1,1

Comments

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

Links

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

Mathematica

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*)

Crossrefs

Cf. A145609 - A145640.

Sequence in context: A006060 A077695 A253880 * A237419 A363866 A243666

Adjacent sequences: A145625 A145626 A145627 * A145629 A145630 A145631

Keyword

frac,nonn

Author

Artur Jasinski, Oct 14 2008

Extensions

Edited by R. J. Mathar, Aug 21 2009

Status

approved