%I #14 Jun 13 2023 04:32:35
%S 9,9,6,2,4,4,3,1,3,6,0,4,3,4,4,9,8,9,0,1,5,0,0,0,2,4,5,5,2,9,0,4,9,5,
%T 2,1,4,5,5,4,5,2,0,5,7,0,8,1,8,6,0,3,2,3,9,1,6,5,6,1,9,8,1,9,6,7,6,3,
%U 0,8,5,2,6,3,6,6,2,8,0,0,7,9,2,5,5,5,7
%N Decimal expansion of 2 - 19 * Pi^5 / (4096 * sqrt(2)).
%D L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (326).
%H Michael I. Shamos, <a href="https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.366.9997">Shamos's catalog of the real numbers</a> (2011).
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F Equals 2 - 19 * Pi^5 / (2^12 * sqrt(2)).
%F Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^5 - (-1)^k/(4*k+1)^5 ).
%e 0.9962443136043449890150002455290495214554520...
%t RealDigits[2 - 19*Pi^5/(4096*Sqrt[2]), 10, 120][[1]] (* _Amiram Eldar_, Jun 13 2023 *)
%Y Cf. A346571, A346908, A346907, A346849.
%K nonn,cons
%O 0,1
%A _Sean A. Irvine_, Aug 06 2021
|