A145629 Denominator of the polynomial A_l(x) = Sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=10.

1, 6, 1, 28, 63, 1386, 1287, 10296, 14586, 277134, 323323, 89237148, 22309287, 401567166, 5822723907, 2888071057872, 722017764468, 361008882234, 6678664321329, 26714657285316, 39117891024927, 3364138628143722

Offset: 1

Author

Artur Jasinski, Oct 14 2008

Keywords

• frac
• nonn

Comments

For numerators see A145627. For general properties of A_l(x) see A145609.

Crossrefs

Cf. A145609 - A145640.

Programs

Maple

A := proc(l,x) add(x^(l-d)/d,d=1..l-1) ; end: A145629 := proc(n) denom( A(2*n+1,10)) ; end: seq(A145629(n),n=1..20) ; # R. J. Mathar, Aug 21 2009

Mathematica

m = 10; aa = {}; Do[k = 0; Do[k = k + m^(2 r + 1 - d)/d, {d, 1, 2 r}]; AppendTo[aa, Denominator[k]], {r, 1, 30}]; aa (* Artur Jasinski *)

Extensions

Edited by R. J. Mathar, Aug 21 2009