%I #17 Aug 06 2024 05:51:29

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

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

%U 3,3,0,8,6,5,2,2,7,4,6,3,0,1,0,1,2,3,1

%N Decimal expansion of 301 * Pi^7 / (524880 * 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 7 * 43 * Pi^7 / (6! * 3^6 * sqrt(3)).

%F Equals 1 + Sum_{k>=1} ( 1/(6*k+1)^7 - 1/(6*k-1)^7 ).

%e 0.999988377409405787862191368361863144410...

%t First[RealDigits[N[7 * 43 * Pi^7 / (6! * 3^6 * Sqrt[3]),88]]] (* _Stefano Spezia_, Jul 24 2021 *)

%Y Cf. A093766, A346585, A346584, A346570.

%K nonn,cons,easy

%O 0,1

%A _Sean A. Irvine_, Jul 24 2021