|
|
A179984
|
|
Numerators of Integral_{x=0..1} cos(log(x))^n dx.
|
|
2
|
|
|
1, 1, 3, 2, 41, 9, 263, 101, 15357, 7597, 284603, 43116, 38393473, 529897, 546720327, 5670211, 26605516873, 92136441, 484386120331, 7980112918, 37169988225261, 677746663297, 17315548435192687, 86554551096513, 9627544465660584149, 2094684707932493
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
a(n) = numerator(2^(-n)*Sum_{k=0..n} C(n,k)/(1+(n-2k)^2)). - Amit Lanis, Nov 18 2022
|
|
MATHEMATICA
|
Table[Numerator[Integrate[Cos[Log[x]]^k, {x, 0, 1}]], {k, 0, 20}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|