A145615 Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=4.

18, 883, 23566, 5278979, 380087174, 66895348819, 13914232622662, 178102177617521, 4036982692723202, 6136213692944321089, 32726473029037904778, 72260052448115886127009, 2890402097924635887833902

Offset

1,1

Comments

For denominators see A145616. For general properties of A_l(x) see A145609.

Links

Table of n, a(n) for n=1..13.

Mathematica

m = 4; 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[4 a[2 n, 4] // FullSimplify  // Numerator, {n, 1, 25}]  (* Gerry Martens , Jun 04 2016 *)

Crossrefs

Cf. A145609 - A145640.

Sequence in context: A033471 A128074 A049655 * A215194 A201538 A214160

Adjacent sequences: A145612 A145613 A145614 * A145616 A145617 A145618

Keyword

frac,nonn

Author

Artur Jasinski, Oct 14 2008

Extensions

Edited by R. J. Mathar, Aug 21 2009

Status

approved