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A341901
Decimal expansion of 1/zeta(9).
1
9, 9, 7, 9, 9, 5, 6, 3, 2, 7, 3, 0, 7, 6, 2, 1, 5, 6, 8, 6, 4, 6, 7, 6, 1, 3, 2, 1, 0, 5, 0, 9, 9, 9, 9, 6, 3, 2, 0, 9, 4, 1, 8, 4, 8, 0, 5, 1, 8, 2, 1, 1, 9, 1, 2, 3, 7, 3, 6, 7, 4, 5, 1, 3, 3, 7, 5, 2, 3, 0, 1, 0, 5, 1, 9, 4, 1, 1, 4, 1, 8, 2, 4, 3, 9, 1, 7
OFFSET
0,1
COMMENTS
1/zeta(9) is the probability that 9 randomly selected numbers will be coprime.
LINKS
FORMULA
Equals 1/A013667.
From Amiram Eldar, Jun 01 2023: (Start)
Equals Sum_{k>=1} mu(k)/k^9, where mu is the Möbius function (A008683).
Equals Product_{p prime} (1 - 1/p^9). (End)
EXAMPLE
0.997995632730762156864676132105099996320941848...
MATHEMATICA
RealDigits[1/Zeta[9], 10, 100][[1]]
PROG
(PARI) 1/zeta(9)
KEYWORD
nonn,cons
AUTHOR
Karl-Heinz Hofmann, Jun 04 2021
STATUS
approved