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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A255986 Decimal expansion of Sum_{m,n >= 1} (-1)^(m + n)/(m*n*(m + n)). 0
3, 0, 0, 5, 1, 4, 2, 2, 5, 7, 8, 9, 8, 9, 8, 5, 7, 1, 3, 4, 9, 9, 3, 4, 5, 4, 0, 3, 7, 7, 8, 6, 2, 4, 9, 7, 6, 9, 1, 2, 4, 6, 5, 7, 3, 0, 8, 5, 1, 2, 4, 7, 2, 0, 4, 4, 8, 0, 6, 7, 8, 8, 8, 8, 3, 5, 4, 5, 9, 5, 5, 1, 4, 4, 6, 5, 7, 8, 2, 7, 2, 5, 4, 6, 6, 1, 3, 9, 6, 8, 4, 0, 2, 3, 3, 3, 8, 1, 4, 5, 3, 6, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..102.

David H. Bailey and Jonathan M. Borwein, Computation and structure of character polylogarithms.

FORMULA

Equals Zeta(3)/4 = A002117/4.

EXAMPLE

0.30051422578989857134993454037786249769124657308512472...

MAPLE

evalf(Zeta(3)/4, 120); # Vaclav Kotesovec, Mar 13 2015

MATHEMATICA

digits = 103; s = NSum[(-1)^(m + n)/(m*n*(m + n)), {m, 1, Infinity}, {n, 1, Infinity}, WorkingPrecision -> digits+10, Method -> "AlternatingSigns"]; RealDigits[s, 10, digits] // First

CROSSREFS

Sequence in context: A210953 A254280 A092669 * A011400 A115013 A072736

Adjacent sequences:  A255983 A255984 A255985 * A255987 A255988 A255989

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Mar 13 2015

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 19 03:24 EDT 2019. Contains 328211 sequences. (Running on oeis4.)