|
| |
|
|
A158241
|
|
Decimal expansion of theta=atan((sqrt(10-2*sqrt(5))-2)/(sqrt(5)-1))
|
|
1
| |
|
|
2, 7, 6, 7, 8, 7, 1, 7, 9, 4, 4, 8, 5, 2, 2, 6, 2, 5, 7, 5, 4, 2, 6, 6, 3, 6, 5, 0, 4, 4, 6, 3, 4, 2, 6, 0, 0, 1, 7, 5, 1, 1, 9, 1, 1, 3, 5, 0, 3, 5, 8, 1, 6, 1, 6, 6, 9, 1, 3, 4, 8, 0, 1, 8, 5, 8, 4, 2, 7, 5, 8, 4, 7, 4, 4, 3, 4, 0, 6, 9, 8, 5, 0, 3, 3, 5, 4, 2, 8, 2, 1, 7, 1, 5, 4, 2, 6, 6, 0, 3, 5, 8, 6, 3
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
COMMENTS
| This number arose in the Davenport-Heilbronn zeta-function which satisfies a functional equation (like zeta) but does not satisfy RH. Some non trivial zeros are off the critical line (see reference).
|
|
|
REFERENCES
| H. Davenport and H. Heilbronn, On the zeros of certain Dirichlet series I,II, J. London Math. Soc. 11 (1936), 181-185 and ibid. 307-312
P. Borwein et al, The Riemann Hypothesis, Springer (2009), 136-137
E. Bombieri and D. Hejhal, Sur les zeros des fonctions zeta d'Epstein, Comptes rendus de l'Academie des Sciences, Paris, 304 (1987), 213-217
|
|
|
EXAMPLE
| 0.27678717...
|
|
|
CROSSREFS
| Sequence in context: A047232 A103557 A189959 * A156591 A138283 A117968
Adjacent sequences: A158238 A158239 A158240 * A158242 A158243 A158244
|
|
|
KEYWORD
| cons,nonn
|
|
|
AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 14 2009
|
|
|
EXTENSIONS
| Keyword:cons inserted, leading zero and offset adjusted - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 15 2010
|
| |
|
|
