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Decimal expansion of zeta(6) / zeta(3).
7

%I #18 Aug 05 2024 13:46:50

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

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

%U 8,3,1,0,3,4,0,8,5,6,9,7,7,7,6,1,0,5,9

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

%H Michael I. Shamos, <a href="https://citeseerx.ist.psu.edu/pdf/ae33a269baba5e8b1038e719fb3209e8a00abec5">Shamos's catalog of the real numbers</a> (2011).

%F Equals Sum_{k>=1} A008836(k) / k^3.

%F Equals Product_{p prime} 1/(1+p^(-3)). [corrected by _Amiram Eldar_, Jun 06 2023]

%e 0.84633519370869490299489573673597978323680...

%t RealDigits[Zeta[6] / Zeta[3], 10, 120][[1]] (* _Amiram Eldar_, Jun 06 2023 *)

%Y Cf. A008836, A182448, A347329, A347330, A347331.

%Y Cf. A002117, A013664.

%K nonn,cons

%O 0,1

%A _Sean A. Irvine_, Aug 26 2021