login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; constant; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 24 11:34 EDT 2021. Contains 348225 sequences. (Running on oeis4.)