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Decimal expansion of 2 - 3 * Pi^3 / (2^6 * sqrt(2)).
3

%I #17 Aug 06 2024 05:54:10

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

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

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

%N Decimal expansion of 2 - 3 * Pi^3 / (2^6 * 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/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 2 - 3 * Pi^3 / (2^6 * sqrt(2)).

%F Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^3 - (-1)^k/(4*k+1)^3 ).

%e 0.9722774140631414321207433819977442327898996814630...

%t RealDigits[2-3*Pi^3/(2^6*Sqrt[2]), 10, 120][[1]] (* _Amiram Eldar_, Jun 13 2023 *)

%Y Cf. A346908, A346849, A346850.

%K nonn,cons

%O 0,1

%A _Sean A. Irvine_, Aug 06 2021