A143148 Decimal expansion of lower bound using Shannon entropy arising in randomly projected hypercubes.

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

Offset: 0

Author

Jonathan Vos Post, Jul 27 2008

Keywords

• cons
• easy
• nonn

Examples

			0.5106461189138...
		

Links

• David L. Donoho and Jared Tanner, Counting the Faces of Randomly-Projected Hypercubes and Orthants, with Applications, arXiv:0807.3590 [math.MG], 2008.

Crossrefs

Cf. A143149.

Programs

Mathematica

RealDigits[16/25*Sqrt[2/Pi],10,120][[1]] (* Harvey P. Dale, Nov 29 2012 *)

Formula

Equals (16/25)*(2/Pi)^(1/2).

Extensions

Leading zero removed and offset adjusted by R. J. Mathar, Feb 05 2009