|
|
A145631
|
|
Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=12.
|
|
1
|
|
|
150, 21651, 15588874, 31427171529, 452551270138, 716841211899677, 1341926748676207290, 3864749036187477202407, 7095679230440208145951582, 6471259458161469829121064993, 931861361975251655393445326142
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
For denominators see A145632. For general properties of A_l(x) see A145609.
|
|
LINKS
|
|
|
MATHEMATICA
|
m = 12; 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_]:=m^n(Log[m/(m-1)]-Beta[1/m, 1+n, 0])
Table[12 a[2 n, 12] // FullSimplify // Numerator, {n, 1, 10}] (* Gerry Martens , Jun 04 2016 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
frac,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|