A019708 - OEIS

%I #24 Jun 19 2023 06:40:54

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

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

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

%N Decimal expansion of sqrt(Pi)/6.

%H Ivan Panchenko, <a href="/A019708/b019708.txt">Table of n, a(n) for n = 0..1000</a>

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

%F Equals Integral_{x>=0} exp(-x^2)*erfc(x)^2 dx, where erfc is the complementary error function. - _Jean-François Alcover_, Jul 23 2013

%F Equals Sum_{k>=0} (k+1/2)!/(k+3)!. - _Amiram Eldar_, Jun 19 2023

%e 0.29540897515091933788302791389019086379959157602039785470230129830881854743...

%t RealDigits[Sqrt[Pi]/6,10,120][[1]] (* _Harvey P. Dale_, Mar 27 2020 *)

%o (PARI) sqrt(Pi)/6 \\ _Charles R Greathouse IV_, Oct 01 2022

%Y Cf. A002161.

%K nonn,cons

%O 0,1

%A _N. J. A. Sloane_