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%I #19 Nov 07 2023 07:27:22
%S 9,6,9,4,4,0,5,8,9,2,3,5,1,5,3,2,0,1,4,4,9,7,2,4,7,9,4,9,4,6,4,3,0,9,
%T 4,0,8,7,8,9,0,1,7,6,8,0,6,0,3,7,9,0,4,6,1,7,3,4,7,2,7,2,2,9,8,7,3,0,
%U 4,7,9,9,6,5,7,1,3,1,0,5,7,7,6,7,0,1,3
%N Decimal expansion of 4 * Pi^5 / (729 * sqrt(3)).
%D L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (310).
%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 2^2 * Pi^5 / (3^6 * sqrt(3)).
%F Equals 1 + Sum_{k>=1} ( 1/(3*k+1)^5 - 1/(3*k-1)^5 ).
%F Equals Product_{p prime} (1 - Kronecker(-3, p)/p^5)^(-1) = Product_{p prime != 3} (1 + (-1)^(p mod 3)/p^5)^(-1). - _Amiram Eldar_, Nov 06 2023
%e 0.969440589235153201449724794946430940...
%t RealDigits[(4 Pi^5)/(729Sqrt[3]),10,120][[1]] (* _Harvey P. Dale_, Mar 09 2023 *)
%Y Cf. A129404, A344727, A344688.
%K nonn,cons
%O 0,1
%A _Sean A. Irvine_, Aug 17 2021
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