login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A094691 Decimal expansion of -Integral_{x=0..1} (Sqrt(x)/Log(1-x)) dx. 1
1, 6, 0, 1, 4, 0, 2, 2, 4, 3, 5, 4, 9, 8, 8, 7, 6, 1, 3, 9, 3, 3, 2, 4, 9, 8, 9, 2, 3, 7, 1, 2, 8, 6, 0, 5, 6, 6, 7, 2, 4, 1, 0, 8, 9, 9, 3, 1, 4, 1, 6, 5, 4, 5, 3, 2, 7, 3, 1, 1, 4, 8, 7, 1, 0, 4, 5, 7, 3, 8, 5, 5, 4, 8, 3, 8, 7, 5, 0, 4, 5, 8, 8, 3, 7, 9, 3, 0, 6, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..90.

Simon Plouffe, -int(sqrt(x)/log(1-x),x=0..1).

FORMULA

Also equals 5/3 - 2*sum(abs(sum((BernoulliB(j)*StirlingS1(k, j-1))/j, {j, 1, k+1}))/((2*k+3)*k!), k=1..infinity}). [Jean-Fran├žois Alcover, Apr 12 2013]

EXAMPLE

1.601402243549887613933249892371286056672410899314165453273114871045738554838...

MATHEMATICA

-NIntegrate[ Sqrt[x]/Log[1 - x], {x, 0, 1}, MaxRecursion -> 24, WorkingPrecision -> 98]

RealDigits[NIntegrate[Sqrt[x]/Log[1-x], {x, 0, 1}, WorkingPrecision-> 120], 10, 120] [[1]] (* Harvey P. Dale, Apr 05 2019 *)

CROSSREFS

Sequence in context: A011253 A049248 A178601 * A095715 A321215 A141108

Adjacent sequences:  A094688 A094689 A094690 * A094692 A094693 A094694

KEYWORD

cons,nonn

AUTHOR

Robert G. Wilson v, May 19 2004

EXTENSIONS

Corrected and extended by Harvey P. Dale, Apr 05 2019

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 November 20 17:09 EST 2019. Contains 329337 sequences. (Running on oeis4.)