|
|
A065479
|
|
Decimal expansion of Product_{p prime >= 3} (1 - 1/(p^2-p-1)).
|
|
3
|
|
|
7, 1, 5, 4, 6, 8, 2, 3, 5, 9, 8, 9, 9, 5, 5, 8, 4, 5, 0, 9, 4, 7, 7, 4, 7, 0, 5, 7, 1, 1, 7, 2, 8, 0, 7, 7, 6, 7, 5, 9, 7, 6, 2, 4, 8, 9, 8, 3, 7, 6, 7, 7, 6, 7, 4, 2, 6, 7, 2, 4, 7, 6, 9, 4, 4, 2, 4, 9, 5, 3, 5, 5, 5, 5, 1, 9, 7, 5, 5, 8, 5, 6, 8, 3, 3, 1, 5, 5, 5, 4, 0, 9, 0, 9, 0, 1, 1, 3
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
EXAMPLE
|
0.715468235989955845094774705711728...
|
|
MATHEMATICA
|
$MaxExtraPrecision = 600; digits = 98; terms = 600; P[n_] := PrimeZetaP[n] - 1/2^n; LR = LinearRecurrence[{2, 2, -3, -2}, {0, 0, -2, -3}, terms + 10]; r[n_Integer] := LR[[n]]; Exp[NSum[r[n]*P[n - 1]/(n - 1), {n, 3, terms}, NSumTerms -> terms, WorkingPrecision -> digits + 10]] // RealDigits[#, 10, digits]& // First (* Jean-François Alcover, Apr 18 2016 *)
|
|
PROG
|
(PARI) prodeulerrat(1 - 1/(p^2-p-1), 1, 3) \\ Amiram Eldar, Mar 15 2021
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|