%I #44 Jun 10 2024 06:18:00

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

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

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

%N Decimal expansion of sqrt(3)*Gamma(1/3)/4.

%H Paul J. Nahin, <a href="https://doi.org/10.1007/978-3-030-43788-6">Inside interesting integrals</a>, Undergrad. Lecture Notes in Physics, Springer (2020), p. 135, eq. (4.3.7).

%F Equals Integral_{x=0..oo} sin(x^3)/x^3 dx = A120011 * A073005.

%e 1.160014413116984775294152416942826...

%p sqrt(3)/4*GAMMA(1/3) ; evalf(%) ;

%t RealDigits[Sqrt[3] * Gamma[1/3]/4, 10, 120][[1]] (* _Amiram Eldar_, Jun 10 2024 *)

%o (PARI) sqrt(3) * gamma(1/3) / 4 \\ _Amiram Eldar_, Jun 10 2024

%Y Cf. A073005, A120011.

%K nonn,cons

%O 1,3

%A _R. J. Mathar_, May 22 2024