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A065473 Decimal expansion of the strongly carefree constant: product(1 - (3*p-2)/(p^3)), p prime >= 2). 5
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; text; internal format)
OFFSET

0,1

COMMENTS

Also decimal expansion of the probability that an integer triple (x, y, z) is pairwise coprime. - Charles R Greathouse IV, Nov 14 2011

LINKS

Table of n, a(n) for n=0..97.

G. Niklasch, Some number theoretical constants: 1000-digit values [cached copy]

László Tóth, The probability that k positive integers are pairwise relatively prime, Fibonacci Quart., 40 (2002), 13-18.

Eric Weisstein's World of Mathematics, Carefree Couple

EXAMPLE

0.2867474284344787341078927127898384...

PROG

(PARI) prodeuler(p=2, 1e7, t=1-1./p; t^2*(t+3/p)) \\ Charles R Greathouse IV, Nov 14 2011

CROSSREFS

Cf. A078073.

Sequence in context: A021890 A199504 A019914 * A054029 A197589 A124356

Adjacent sequences:  A065470 A065471 A065472 * A065474 A065475 A065476

KEYWORD

cons,nonn

AUTHOR

N. J. A. Sloane, Nov 19 2001

EXTENSIONS

Name corrected by Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 03 2003

STATUS

approved

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Last modified December 21 17:16 EST 2014. Contains 252324 sequences.