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A157295
Decimal expansion of 630/Pi^6.
1
6, 5, 5, 3, 0, 1, 7, 2, 8, 1, 7, 6, 3, 8, 6, 9, 4, 6, 5, 3, 6, 5, 9, 7, 7, 0, 9, 9, 9, 5, 9, 4, 9, 4, 2, 1, 9, 6, 7, 4, 8, 1, 0, 1, 0, 6, 5, 7, 7, 3, 7, 8, 8, 7, 2, 2, 9, 1, 6, 0, 2, 6, 9, 9, 5, 7, 0, 0, 1, 6, 9, 4, 2, 2, 9, 7, 9, 1, 6, 1, 6, 5, 3, 9, 3, 2, 6, 3, 6, 9, 8, 5, 2, 1, 9, 6, 9, 4, 7, 7, 0, 2, 7, 6, 5
OFFSET
0,1
FORMULA
Equals Product_{p primes = A000040} (1-1/p^2+1/p^4-1/p^6).
Equals Product_{i>=1} (1-1/A001248(i)+1/A030514(i)-1/A030516(i)).
Equals 630*A092746.
Equals Sum_{n>=1} A363551(n)/n^2. - Amiram Eldar, Jun 10 2023
EXAMPLE
0.655301728176386946536... = (1-1/2^2+1/2^4-1/2^6)*(1-1/3^2+1/3^4-1/3^6)*(1-1/5^2+1/5^4-1/5^6)*(1-1/7^2+1/7^4-1/7^6)*...
MAPLE
evalf(630/Pi^6) ;
MATHEMATICA
RealDigits[630/Pi^6, 10, 120][[1]] (* Amiram Eldar, Jun 10 2023 *)
PROG
(PARI) 630/Pi^6 \\ Michel Marcus, Aug 05 2021
KEYWORD
cons,easy,nonn
AUTHOR
R. J. Mathar, Feb 26 2009
STATUS
approved