%I #24 Aug 05 2024 13:49:53
%S 9,9,8,0,7,1,5,9,9,8,3,7,9,2,8,6,8,7,3,2,9,7,0,9,6,9,8,1,2,0,2,3,4,9,
%T 5,5,7,2,5,7,8,6,6,7,7,4,4,2,0,9,0,5,1,3,1,8,0,1,1,3,7,7,6,8,6,4,0,5,
%U 6,9,7,1,9,0,0,3,2,5,3,7,1,4,5,8,2,3,6
%N Decimal expansion of 23 * Pi^4 / (1296 * sqrt(3)).
%D L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (329).
%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 23 * Pi^4 / (2^4 * 3^4 * sqrt(3)).
%F Equals 1 + Sum_{k>=1} ( (-1)^k/(6*k-1)^4 + (-1)^k/(6*k+1)^4 ).
%e 0.99807159983792868732970969812...
%t First[RealDigits[N[23*Pi^4/(2^4*3^4*Sqrt[3]),100]]] (* _Stefano Spezia_, Jul 19 2021 *)
%t RealDigits[(23 Pi^4)/(1296 Sqrt[3]),10,120][[1]] (* _Harvey P. Dale_, Jun 20 2023 *)
%Y Cf. A258414, A346450, A346449.
%K nonn,cons,easy
%O 0,1
%A _Sean A. Irvine_, Jul 18 2021