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A065473
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Decimal expansion of the strongly carefree constant: product(1 - (3*p-2)/(p^3)), p prime >= 2).
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5
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2, 8, 6, 7, 4, 7, 4, 2, 8, 4, 3, 4, 4, 7, 8, 7, 3, 4, 1, 0, 7, 8, 9, 2, 7, 1, 2, 7, 8, 9, 8, 3, 8, 4, 4, 6, 4, 3, 4, 3, 3, 1, 8, 4, 4, 0, 9, 7, 0, 5, 6, 9, 9, 5, 6, 4, 1, 4, 7, 7, 8, 5, 9, 3, 3, 6, 6, 5, 2, 2, 4, 3, 1, 3, 1, 9, 4, 3, 2, 5, 8, 2, 4, 8, 9, 1, 2, 6, 8, 2, 5, 5, 3, 7, 4, 2, 3, 7
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Also decimal expansion of the probability that an integer triple (x, y, z) is pairwise coprime. [Charles R Greathouse IV, Nov 14 2011]
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LINKS
| G. Niklasch, Some number theoretical constants: 1000-digit values [Cached copy]
Eric Weisstein's World of Mathematics, Carefree Couple
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EXAMPLE
| 0.2867474284344787341078927127898384...
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PROG
| (PARI) prodeuler(p=2, 1e7, t=1-1./p; t^2*(t+3/p)) \\ Charles R Greathouse IV, Nov 14 2011
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CROSSREFS
| Cf. A078073.
Sequence in context: A021890 A199504 A019914 * A054029 A197589 A124356
Adjacent sequences: A065470 A065471 A065472 * A065474 A065475 A065476
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KEYWORD
| cons,nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 19 2001
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EXTENSIONS
| Name corrected by Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 03 2003
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