A177218 Decimal expansion of the integral over cos(Pi*x)*x^(1/x) between 1/e and e.

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.

Links

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

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

Adjacent sequences: A177215 A177216 A177217 * A177219 A177220 A177221

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