A372047 Decimal expansion of sqrt(3)*Gamma(1/3)/4.

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, 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, 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

Offset: 1

Author

R. J. Mathar, May 22 2024

Keywords

• nonn
• cons

Examples

			1.160014413116984775294152416942826...
		

Links

• Paul J. Nahin, Inside interesting integrals, Undergrad. Lecture Notes in Physics, Springer (2020), p. 135, eq. (4.3.7).

Crossrefs

Cf. A073005, A120011.

Programs

Maple

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

Mathematica

RealDigits[Sqrt[3] * Gamma[1/3]/4, 10, 120][[1]] (* Amiram Eldar, Jun 10 2024 *)

PARI

sqrt(3) * gamma(1/3) / 4 \\ Amiram Eldar, Jun 10 2024

Formula

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