A145625 Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=9.

171, 27819, 11267049, 12776837121, 1034923809573, 922117114354533, 970989321415598469, 31460054013865485891, 43320494377092775505339, 333351204231728907635493393, 27001447542770041518585314553

Offset

1,1

Comments

For denominators see A145626. For general properties of A_l(x) see A145609.

Links

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

Mathematica

m = 9; 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[9 a[2 n, 9] // Simplify  // Numerator, {n, 1, 25}]  (* Gerry Martens , Jun 04 2016 *)

Crossrefs

Cf. A145609 - A145640.

Sequence in context: A127959 A046166 A262113 * A097844 A076573 A015356

Adjacent sequences: A145622 A145623 A145624 * A145626 A145627 A145628

Keyword

frac,nonn

Author

Artur Jasinski, Oct 14 2008

Extensions

Edited by R. J. Mathar, Aug 21 2009

Status

approved