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%I #14 Aug 06 2024 05:47:38
%S 9,9,6,0,8,1,1,6,0,2,1,2,3,7,1,6,2,3,0,6,5,2,3,6,6,3,2,5,4,7,3,5,4,3,
%T 2,6,0,5,6,1,2,8,7,9,8,3,7,5,5,8,4,7,1,5,7,1,6,6,7,3,6,8,2,5,9,6,4,0,
%U 2,8,7,9,5,2,6,1,2,3,5,0,9,4,7,9,5,4,9
%N Decimal expansion of 5207 * Pi^8 / 49601160.
%D L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (312).
%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 41 * 127 * Pi^8 / (2^3 * 3^11 * 5 * 7).
%F Equals 1 + Sum_{k>=1} ( (-1)^k/(3*k-1)^8 + (-1)^k/(3*k+1)^8 ).
%e 0.9960811602123716230652366325473543260...
%t RealDigits[5207 * Pi^8 / 49601160, 10, 120][[1]] (* _Amiram Eldar_, Jun 20 2023 *)
%Y Cf. A346933, A346932, A346931, A346929.
%K nonn,cons
%O 0,1
%A _Sean A. Irvine_, Aug 07 2021