# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a372047 Showing 1-1 of 1 %I A372047 #44 Jun 10 2024 06:18:00 %S A372047 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 A372047 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 A372047 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 A372047 Decimal expansion of sqrt(3)*Gamma(1/3)/4. %H A372047 Paul J. Nahin, Inside interesting integrals, Undergrad. Lecture Notes in Physics, Springer (2020), p. 135, eq. (4.3.7). %F A372047 Equals Integral_{x=0..oo} sin(x^3)/x^3 dx = A120011 * A073005. %e A372047 1.160014413116984775294152416942826... %p A372047 sqrt(3)/4*GAMMA(1/3) ; evalf(%) ; %t A372047 RealDigits[Sqrt[3] * Gamma[1/3]/4, 10, 120][[1]] (* _Amiram Eldar_, Jun 10 2024 *) %o A372047 (PARI) sqrt(3) * gamma(1/3) / 4 \\ _Amiram Eldar_, Jun 10 2024 %Y A372047 Cf. A073005, A120011. %K A372047 nonn,cons %O A372047 1,3 %A A372047 _R. J. Mathar_, May 22 2024 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE