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%I #16 Aug 06 2024 05:52:28
%S 9,9,8,5,7,3,9,7,1,9,5,3,5,3,0,5,4,7,6,7,0,2,7,0,5,1,6,1,0,6,6,6,8,0,
%T 7,3,0,3,1,9,5,4,9,3,0,0,6,3,6,8,7,6,6,5,2,3,2,2,9,2,5,1,8,8,3,7,6,4,
%U 8,7,4,6,1,2,3,2,5,1,3,8,0,0,8,8,3,1,2
%N Decimal expansion of 361 * Pi^6 / (245760 * sqrt(2)).
%C Shamos (2011) has incorrect formula 19^2*Pi^4 / (2^14*3*5*sqrt(3)).
%D L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (327).
%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 19^2 * Pi^6 / (2^14 * 3 * 5 * sqrt(2)).
%F Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^6 + (-1)^k/(4*k+1)^6 ).
%e 0.998573971953530547670270516106668073031954930...
%t RealDigits[361*Pi^6/(245760*Sqrt[2]), 10, 120][[1]] (* _Amiram Eldar_, Jun 13 2023 *)
%Y Cf. A328895, A346728, A346260, A346450.
%K nonn,cons
%O 0,1
%A _Sean A. Irvine_, Jul 30 2021