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Decimal expansion of Pi^4/105.
6

%I #18 Aug 05 2024 13:47:57

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

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

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

%N Decimal expansion of Pi^4/105.

%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(8) / zeta(4).

%F Equals Sum_{k>=1} A008836(k) / k^4.

%F Equals Product_{p prime} 1/(1+p^(-4)). [corrected by _Amiram Eldar_, Jun 06 2023]

%e 0.9277056288952613070137174541781439166640...

%t RealDigits[Pi^4/105, 10, 120][[1]] (* _Amiram Eldar_, Jun 06 2023 *)

%Y Cf. A008836, A182448, A347328, A347330, A347331.

%Y Cf. A013662, A013666.

%K nonn,cons

%O 0,1

%A _Sean A. Irvine_, Aug 26 2021