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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. 1
253, 184195, 111439537, 188778591353, 68526628697791, 8291722072462741, 13042878819984222253, 3156376674436182358799, 6492666819315227120658143, 2985328203521141430107897005, 361224712626058113043082041693 (list; graph; refs; listen; history; text; internal format)
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 A243666 A243687

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

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Last modified October 28 19:21 EDT 2020. Contains 338064 sequences. (Running on oeis4.)