0,2

Strangely close to A037077 which is a sum of the integrand from 1 to infinity.

Table of n, a(n) for n=0..104.

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

0.187779...

Int( cos(Pi*x)*x^(1/x), x=exp(-1)..exp(1)) ; evalf(%) ; # R. J. Mathar, May 07 2010

RealDigits[ Re[NIntegrate[(-1)^n*n^(1/n), {n, 1/E, E}, WorkingPrecision -> 200]]]

A157852 is the same integral from 1 to infinity.

Sequence in context: A201505 A342316 A219388 * A342374 A319462 A086911

Adjacent sequences: A177215 A177216 A177217 * A177219 A177220 A177221

nonn,cons

Marvin Ray Burns, May 04 2010

Definition simplified, keyword:cons inserted, offset corrected by R. J. Mathar, May 07 2010

approved