%I #19 Aug 06 2024 05:49:20

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

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

%U 4,5,9,9,1,4,0,2,1,3,8,5,6,5,5,5,2,4,0

%N Decimal expansion of 691 * Pi^6 / 675675.

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

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%F Equals zeta(12) / zeta(6).

%F Equals Sum_{k>=1} A008836(k) / k^6.

%F Equals Product_{p prime} 1/(1+p^(-6)). [corrected by _Amiram Eldar_, Jun 06 2023]

%e 0.9831944836800760217380865587210155031...

%t RealDigits[691 * Pi^6 / 675675, 10, 120][[1]] (* _Amiram Eldar_, Jun 06 2023 *)

%Y Cf. A008836, A182448, A347328, A347329, A347330.

%Y Cf. A013664, A013670.

%K nonn,cons

%O 0,1

%A _Sean A. Irvine_, Aug 26 2021

%E Data corrected by _Amiram Eldar_, Jun 06 2023