A346260 - OEIS

%I #14 Aug 06 2024 05:50:43

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

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

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

%N Decimal expansion of 24611 * Pi^8 / (165150720 * sqrt(2)).

%D L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (327).

%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 24611 * Pi^8 / (2^19 * 3^2 * 5 * 7 * sqrt(2)).

%F Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^8 + (-1)^k/(4*k+1)^8 ).

%e 0.99984521547922560046287988947718520...

%t RealDigits[24611 * Pi^8 / (165150720 * Sqrt[2]), 10, 120][[1]] (* _Amiram Eldar_, Jun 20 2023 *)

%Y Cf. A328895, A346728, A346727, A346449.

%K nonn,cons

%O 0,1

%A _Sean A. Irvine_, Jul 30 2021