|
Search: id:A086724
|
|
|
| A086724 |
|
Decimal expansion of g(1)-g(2)+g(4)-g(5), where g(k) = sum(1/(6*m+k)^2,m=0..infinity). |
|
+0
5
|
|
| 7, 8, 1, 3, 0, 2, 4, 1, 2, 8, 9, 6, 4, 8, 6, 2, 9, 6, 8, 6, 7, 1, 8, 7, 4, 2, 9, 6, 2, 4, 0, 9, 2, 3, 5, 6, 3, 6, 5, 1, 3, 4, 3, 3, 6, 5, 4, 5, 2, 8, 5, 4, 2, 0, 2, 2, 2, 1, 0, 0, 0, 6, 2, 9, 6, 6, 8, 8, 6, 9, 8, 4, 6, 5, 1, 6, 1, 8, 2, 1, 8, 0, 9, 2, 8, 6, 9, 5, 7, 0, 8, 3, 2, 2, 0, 9, 8, 6, 1
(list; cons; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
This number is L(2, chi3), where L(s, chi3) is the Dirichlet L-function for the non-principal character modulo 3. - Stuart Clary (clary(AT)uakron.edu), Dec 17, 2008
|
|
REFERENCES
|
L. Fejes Toth, Lagerungen in der Ebene, auf der Kugel und im Raum, 2nd. ed., Springer-Verlag, Berlin, Heidelberg 1972; see p. 213.
|
|
EXAMPLE
|
.781302412896486296867...
|
|
MATHEMATICA
|
nmax = 1000; First[ RealDigits[(Zeta[2, 1/3] - Zeta[2, 2/3])/9, 10, nmax] ] - Stuart Clary (clary(AT)uakron.edu), Dec 17, 2008
|
|
CROSSREFS
|
Cf. A086722-A086731.
Cf. A153066, A153067, A153068. - Stuart Clary (clary(AT)uakron.edu), Dec 17, 2008
Adjacent sequences: A086721 A086722 A086723 this_sequence A086725 A086726 A086727
Sequence in context: A073004 A021132 A019936 this_sequence A093720 A126625 A128755
|
|
KEYWORD
|
nonn,cons
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Jul 31 2003
|
|
|
Search completed in 0.002 seconds
|
