OFFSET
0,2
COMMENTS
Strangely close to A037077 which is a sum of the integrand from 1 to infinity.
LINKS
Marvin Ray Burns, Author's original inquiry
R. J. Mathar, Numerical evaluation of the oscillatory integral over exp(i*pi*x)x^(1/x) between 1 and infinity, arXiv:0912.3844
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
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