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A088454
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Decimal expansion of 6/(Catalan*Pi^2).
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6
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6, 6, 3, 7, 0, 0, 8, 0, 4, 6, 1, 3, 8, 5, 3, 4, 6, 0, 7, 2, 1, 4, 3, 1, 6, 5, 7, 6, 1, 7, 0, 4, 8, 6, 9, 1, 3, 5, 8, 3, 9, 5, 7, 9, 6, 7, 7, 4, 8, 0, 8, 3, 8, 7, 2, 0, 6, 2, 0, 0, 9, 9, 0, 2, 8, 6, 6, 1, 3, 0, 2, 3, 1, 0, 1, 9, 6, 6, 4, 7, 7, 5, 0, 3, 3, 2, 2, 0, 4, 1, 0, 4, 6, 0, 3, 6, 6, 3, 9, 5, 0, 7
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OFFSET
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0,1
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COMMENTS
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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
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LINKS
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Eric Weisstein's World of Mathematics, Squarefree.
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EXAMPLE
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0.663700804613853460721431657617048691358...
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MATHEMATICA
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RealDigits[(6/Pi^2)/Catalan, 10, 100][[1]] (* Alonso del Arte, Dec 20 2013 *)
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PROG
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(Magma) R:= RealField(100); 6/(Catalan(R)*Pi(R)^2); // G. C. Greubel, Aug 23 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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