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A177218
Decimal expansion of the integral over cos(Pi*x)*x^(1/x) between 1/e and e.
1
1, 8, 7, 7, 7, 9, 0, 3, 1, 3, 2, 3, 0, 4, 2, 7, 7, 0, 4, 3, 3, 0, 1, 0, 5, 2, 9, 1, 2, 4, 3, 8, 7, 9, 7, 0, 8, 8, 2, 6, 6, 3, 6, 7, 7, 5, 5, 7, 9, 0, 0, 5, 4, 0, 2, 3, 5, 7, 1, 2, 0, 9, 0, 4, 4, 4, 6, 3, 1, 1, 2, 6, 1, 5, 5, 0, 2, 5, 9, 2, 6, 5, 2, 3, 9, 5, 4, 7, 9, 2, 3, 7, 2, 8, 6, 6, 0, 1, 3, 0, 5, 1, 6, 2, 1
OFFSET
0,2
COMMENTS
Strangely close to A037077 which is a sum of the integrand from 1 to infinity.
EXAMPLE
0.187779...
MAPLE
Int( cos(Pi*x)*x^(1/x), x=exp(-1)..exp(1)) ; evalf(%) ; # R. J. Mathar, May 07 2010
MATHEMATICA
RealDigits[ Re[NIntegrate[(-1)^n*n^(1/n), {n, 1/E, E}, WorkingPrecision -> 200]]]
CROSSREFS
A157852 is the same integral from 1 to infinity.
Sequence in context: A201505 A342316 A219388 * A342374 A319462 A086911
KEYWORD
nonn,cons
AUTHOR
Marvin Ray Burns, May 04 2010
EXTENSIONS
Definition simplified, keyword:cons inserted, offset corrected by R. J. Mathar, May 07 2010
STATUS
approved