A382884 Decimal expansion of 1/6 + Pi/(12*sqrt(3)) - log(3)/4.

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

Offset: 0

Author

Sean A. Irvine, Apr 07 2025

Keywords

• nonn
• cons

Examples

			0.04316354151915739803402854557288155...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000
• I. S. Gradsteyn and I. M. Ryzhik, Table of integrals, series and products (6th ed.), 2000, (eq. 0.238.3).

Crossrefs

Cf. A187832, A382854.

Programs

Mathematica

First[RealDigits[(6 + Pi*Sqrt[3] - 9*Log[3])/36, 10, 100, -1]] (* Paolo Xausa, Apr 08 2025 *)

Formula

Equals Sum_{k>=0} 1/((3*k+1) * (3*k+2) * (3*k+3) * (3*k+4)).