A218708 - OEIS

%I #25 Apr 17 2026 09:51:16

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

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

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

%N Decimal expansion of 1/sqrt(8*Pi).

%H Timothy Trudgian, <a href="https://doi.org/10.1017/S0004972713000415">A new upper bound for |zeta(1+ i*t)|</a>, Bulletin of the Australian Mathematical Society, Vol. 89, No. 2 (2014), pp. 259-264; <a href="https://arxiv.org/abs/1210.6743">arXiv preprint</a>, arXiv:1210.6743v1 [math.NT], 2012. See Formula (4.2) on page 5.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%F Equals A231863 / 2 = 1 / (10 * A019729). - _Amiram Eldar_, Apr 17 2026

%e 0.1994711402007163389699730299671909342379293155824...

%t RealDigits[1/Sqrt[8*Pi], 10, 120][[1]] (* _Amiram Eldar_, Apr 17 2026 *)

%o (PARI) 1/sqrt(8*Pi) \\ _Michel Marcus_, Feb 11 2020

%Y Cf. A019729, A231863.

%K nonn,cons

%O 0,2

%A _Jonathan Vos Post_, Nov 04 2012