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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
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
Cf. A180092 (denominators).
Sequence in context: A370825 A009084 A096057 * A260888 A065085 A321169
KEYWORD
nonn,frac
AUTHOR
EXTENSIONS
More terms from Amiram Eldar, Jul 07 2021
STATUS
approved