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

0,1

Links

Table of n, a(n) for n=0..99.

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

Formula

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

Example

0.5106461189138...

Mathematica

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

Crossrefs

Cf. A143149.

Sequence in context: A002068 A021666 A340841 * A198541 A200420 A176324

Adjacent sequences: A143145 A143146 A143147 * A143149 A143150 A143151

Keyword

cons,easy,nonn

Author

Jonathan Vos Post, Jul 27 2008

Extensions

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

Status

approved