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A143148 Decimal expansion of lower bound using Shannon entropy arising in randomly projected hypercubes. 2
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
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
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

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Last modified March 29 06:34 EDT 2024. Contains 371265 sequences. (Running on oeis4.)