OFFSET
0,3
MATHEMATICA
digits = 93;
$MaxExtraPrecision = 4 digits;
terms = 4 digits;
LR = Join[{0, 0, 0}, LinearRecurrence[{-2, -1, 1, 1}, {-3, 4, -5, 3}, terms + 10]];
r[n_Integer] := LR[[n]];
c = Exp[NSum[r[n] PrimeZetaP[n - 1]/(n - 1), {n, 4, terms}, NSumTerms -> terms, WorkingPrecision -> digits + 10]];
ContinuedFraction[c][[;; digits]] (* Jean-François Alcover, Aug 01 2019 *)
PROG
(PARI) contfrac(prodeulerrat(1 - 1/(p^2*(p+1)))) \\ Amiram Eldar, Mar 14 2021
CROSSREFS
KEYWORD
nonn,cofr
AUTHOR
Benoit Cloitre, Dec 02 2002
EXTENSIONS
Offset changed by Andrew Howroyd, Jul 05 2024
STATUS
approved