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A157289 Decimal expansion of Zeta(3)/Zeta(6). 8

%I #13 May 22 2020 11:44:08

%S 1,1,8,1,5,6,4,9,4,9,0,1,0,2,5,6,9,1,2,5,6,9,3,9,9,7,3,4,1,6,0,4,5,4,

%T 2,6,0,5,4,7,0,2,3,2,6,0,7,6,8,6,8,2,6,1,0,2,8,3,0,4,3,1,4,8,8,7,7,2,

%U 0,5,4,2,1,1,1,0,3,1,8,8,3,9,9,0,0,2,9,9,4,8,7,1,1,8,4,4,4,9,2,7,0,1,1,4,8

%N Decimal expansion of Zeta(3)/Zeta(6).

%C The Product_{p = primes = A000040} (1+1/p^3), the cubic analog to A082020.

%F Equals A002117/A013664 = Product_{i} (1+1/A030078(i)).

%F Equals Sum_{k>=1} 1/A062838(k) = Sum_{k>=1} 1/A005117(k)^3. - _Amiram Eldar_, May 22 2020

%e 1.181564949010256912569399734... = (1+1/2^3)*(1+1/3^3)*(1+1/5^3)*(1+1/7^3)*...

%p evalf(Zeta(3)/Zeta(6)) ;

%t RealDigits[Zeta[3]/Zeta[6],10,120][[1]] (* _Harvey P. Dale_, Jul 23 2016 *)

%Y Cf. A002117, A005117, A013664, A030078, A062838, A082020.

%K cons,nonn

%O 1,3

%A _R. J. Mathar_, Feb 26 2009

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