A346584 - OEIS

%I #17 Aug 06 2024 05:51:51

%S 9,9,9,7,3,5,6,0,7,6,4,8,7,5,1,7,3,8,9,9,5,0,2,8,6,9,4,7,8,8,5,0,6,9,

%T 0,7,7,8,1,3,6,7,4,4,8,3,1,2,2,6,5,8,9,1,3,6,6,3,9,3,7,4,5,5,8,0,6,5,

%U 8,0,7,4,6,4,6,4,1,6,4,0,3,3,2,2,2,3,2

%N Decimal expansion of 11 * Pi^5 / (1944 * sqrt(3)).

%D L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (314).

%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 11 * Pi^5 / (4! * 3^4 * sqrt(3)).

%F Equals 1 + Sum_{k>=1} ( 1/(6*k+1)^5 - 1/(6*k-1)^5 ).

%e 0.99973560764875173899502869478850690...

%t First[RealDigits[N[11 * Pi^5 / (4! * 3^4 * Sqrt[3]),88]]] (* _Stefano Spezia_, Jul 24 2021 *)

%Y Cf. A093766, A346585, A346583, A346571.

%K nonn,cons,easy

%O 0,1

%A _Sean A. Irvine_, Jul 24 2021