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A145612 Denominator of the polynomial A_l(x) = Sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=2. 2

%I #8 Mar 17 2019 02:04:36

%S 1,6,15,420,63,1386,9009,360360,1531530,29099070,14549535,1338557220,

%T 1673196525,10039179150,145568097675,72201776446800,18050444111700,

%U 9025222055850,166966608033225,667866432132900,6845630929362225

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

%C For numerators see A145611. For general properties of A_l(x) see A145609.

%p A := proc(l,x) add(x^(l-d)/d,d=1..l-1) ; end: A145612 := proc(n) denom( A(2*n+1,2)) ; end: seq(A145612(n),n=1..20) ; # _R. J. Mathar_, Aug 21 2009

%t m = 2; 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_ *)

%Y Cf. A145609 - A145640.

%K frac,nonn

%O 1,2

%A _Artur Jasinski_, Oct 14 2008

%E Edited by _R. J. Mathar_, Aug 21 2009

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Last modified April 19 17:51 EDT 2024. Contains 371797 sequences. (Running on oeis4.)