|
|
A340820
|
|
Decimal expansion of (1 + Product_{p prime} (1 - 2/(p*(p+1))))/2.
|
|
2
|
|
|
7, 3, 5, 8, 4, 0, 3, 0, 6, 8, 0, 6, 4, 9, 8, 9, 3, 4, 0, 3, 7, 6, 1, 7, 8, 1, 6, 5, 4, 0, 2, 4, 1, 0, 4, 3, 7, 1, 2, 9, 6, 3, 1, 9, 1, 0, 0, 3, 4, 9, 3, 4, 4, 1, 8, 1, 7, 8, 6, 8, 6, 2, 7, 7, 0, 8, 8, 6, 6, 0, 5, 8, 3, 7, 9, 8, 4, 1, 3, 7, 2, 0, 4, 8, 1, 0, 5
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
The asymptotic density of numbers k such that A046660(k) is even (A162644).
Detrey et al. (2016) calculated 1000 decimal digits of this constant.
|
|
LINKS
|
Michael J. Mossinghoff and Timothy S. Trudgian, A tale of two omegas, arXiv:1906.02847 [math.NT], 2019. See page 9.
|
|
FORMULA
|
|
|
EXAMPLE
|
0.735840306806498934037617816540241043712963191003493...
|
|
PROG
|
(PARI) (prodeulerrat(1 - 2/(p*(p+1))) + 1)/2
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|