|
|
A261829
|
|
Decimal expansion of -Zeta'(-1)/2.
|
|
1
|
|
|
0, 8, 2, 7, 1, 0, 5, 7, 1, 8, 5, 0, 2, 2, 5, 4, 6, 4, 6, 0, 6, 9, 5, 9, 8, 3, 0, 1, 2, 1, 3, 9, 0, 3, 2, 1, 3, 8, 2, 0, 1, 8, 1, 9, 0, 1, 6, 7, 6, 0, 0, 8, 9, 1, 8, 3, 3, 2, 6, 1, 1, 5, 3, 1, 7, 8, 6, 7, 9, 8, 4, 9, 8, 3, 3, 2, 8, 8, 5, 8, 6, 3, 7, 9, 7, 6, 2, 5, 5, 0, 1, 6, 6, 2, 5, 4, 3, 7, 7, 7, 6, 9
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
REFERENCES
|
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.15 Glaisher-Kinkelin constant, p. 135.
|
|
LINKS
|
|
|
FORMULA
|
Equals -Integral_{0..infinity} x*log(x)/(exp(2*Pi* x)-1) dx.
Equals 1/24 - log(A)/2, where A is the Glaisher-Kinkelin constant 1.282427... (A074962).
|
|
EXAMPLE
|
0.08271057185022546460695983012139032138201819016760089183326...
|
|
MAPLE
|
|
|
MATHEMATICA
|
Join[{0}, RealDigits[1/24 - Log[Glaisher]/2, 10, 101] // First]
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|