A346585 - OEIS

%I #17 Aug 06 2024 05:46:53

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

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

%U 5,1,2,5,4,1,2,4,8,8,5,8,5,3,9,3,4,0,4

%N Decimal expansion of Pi^3 / (18 * 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 Pi^3 / (2! * 3^2 * sqrt(3)).

%F Equals 1 + Sum_{k>=1} ( 1/(6*k+1)^3 - 1/(6*k-1)^3 ).

%e 0.99452678821883983883594015647988828371...

%t First[RealDigits[N[Pi^3 / (2! * 3^2 * Sqrt[3]),88]]] (* _Stefano Spezia_, Jul 24 2021 *)

%Y Cf. A093766, A346584, A346583, A346572.

%K nonn,cons,easy

%O 0,1

%A _Sean A. Irvine_, Jul 24 2021