OFFSET
0,1
COMMENTS
This is the probability that a randomly chosen Gaussian integer (e.g., -2 + 5i) is squarefree (Pegg, 2003). - Alonso del Arte, Dec 20 2013
The probability that two randomly selected Gaussian integers are relatively prime (Collins and Johnson, 1989). - Amiram Eldar, Nov 24 2023
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
George E. Collins and Jeremy R. Johnson, The probability of relative primality of Gaussian integers, Symbolic and Algebraic Computation: International Symposium ISSAC'88 Rome, Italy, July 4-8, 1988 Proceedings, Springer Berlin Heidelberg, 1989, pp. 252-258.
Ed Pegg Jr., The Moebius Function, 2003.
Eric Weisstein's World of Mathematics, Gaussian Integer.
Eric Weisstein's World of Mathematics, Relatively Prime.
Eric Weisstein's World of Mathematics, Squarefree.
EXAMPLE
0.663700804613853460721431657617048691358...
MATHEMATICA
RealDigits[(6/Pi^2)/Catalan, 10, 100][[1]] (* Alonso del Arte, Dec 20 2013 *)
PROG
(PARI) 6/(Catalan*Pi^2) \\ G. C. Greubel, Aug 23 2018
(Magma) R:= RealField(100); 6/(Catalan(R)*Pi(R)^2); // G. C. Greubel, Aug 23 2018
CROSSREFS
KEYWORD
AUTHOR
Eric W. Weisstein, Sep 30 2003
STATUS
approved