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!)
A269768 Decimal expansion of Sum_{n>=2} (-1)^n * Zeta(n)/n!. 2
6, 5, 9, 8, 1, 5, 2, 5, 4, 3, 4, 9, 9, 9, 9, 5, 1, 4, 8, 6, 3, 8, 4, 4, 1, 7, 4, 3, 5, 2, 9, 5, 8, 9, 9, 6, 0, 7, 7, 7, 7, 0, 0, 7, 4, 0, 8, 8, 8, 0, 8, 5, 4, 1, 3, 8, 4, 1, 2, 1, 3, 4, 9, 3, 2, 0, 6, 3, 3, 9, 8, 9, 0, 7, 5, 7, 3, 1, 6, 7, 8, 5, 1, 8, 5, 7, 6, 2, 4, 8, 3, 0, 0, 8, 7, 8, 6, 0, 9, 6, 0, 7, 5, 8, 0, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..105.

J. Sondow and E. W. Weisstein, MathWorld: Riemann Zeta Function

FORMULA

Equals Sum_{k>=1} (exp(-1/k) - 1 + 1/k).

EXAMPLE

0.659815254349999514863844174352958996077770074088808541384121349320633989...

MAPLE

evalf(Sum(exp(-1/n)-1+1/n, n=1..infinity), 120);

MATHEMATICA

RealDigits[NSum[Exp[-1/n] - 1 + 1/n, {n, 1, Infinity}, WorkingPrecision -> 200, NSumTerms -> 10000, PrecisionGoal -> 120, Method -> {"NIntegrate", "MaxRecursion" -> 100}]][[1]]

CROSSREFS

Cf. A093720.

Sequence in context: A165227 A242761 A200477 * A073230 A134881 A229983

Adjacent sequences:  A269765 A269766 A269767 * A269769 A269770 A269771

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Mar 04 2016

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 August 9 05:53 EDT 2022. Contains 356016 sequences. (Running on oeis4.)