login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A240242 Decimal expansion of Integral_(x=1..c) (log(x)/(1+x))^2 dx, where c = A141251 = e^(LambertW(1/e)+1) corresponds to the maximum of the function. 2
1, 3, 8, 4, 7, 5, 3, 2, 4, 2, 5, 8, 4, 8, 0, 4, 9, 0, 4, 1, 4, 3, 3, 3, 3, 6, 8, 5, 5, 3, 5, 1, 6, 2, 8, 7, 5, 8, 9, 2, 9, 0, 0, 0, 0, 2, 1, 9, 5, 7, 7, 8, 3, 1, 5, 8, 3, 4, 3, 7, 0, 8, 5, 7, 1, 9, 9, 4, 3, 9, 0, 8, 2, 6, 3, 2, 6, 6, 3, 9, 8, 3, 5, 4, 9, 8, 9, 3, 7, 0, 0, 6, 8, 2, 8, 5, 6, 3, 9, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Jean-François Alcover, Graphics
FORMULA
(log(c)/(1+c))^2 = (LambertW(1/e))^2 = 0.0775425...
EXAMPLE
0.13847532425848...
MATHEMATICA
w = ProductLog[1/E]; Pi^2/6 - w - w^2 - 2*Log[1+w]*(1+w) + 2*PolyLog[2, -w] // RealDigits[#, 10, 100]& // First
PROG
(PARI) (w -> Pi^2/6 - w - w^2 - 2*(1+w)*log(1+w) + 2*polylog(2, -w))(lambertw(exp(-1))) \\ Charles R Greathouse IV, Aug 27 2014
CROSSREFS
Sequence in context: A021030 A276682 A303215 * A340782 A010628 A225456
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 28 08:48 EST 2024. Contains 370394 sequences. (Running on oeis4.)