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A143149 Decimal expansion of upper bound using Shannon entropy arising in randomly-projected hypercubes. 1
3, 1, 3, 3, 2, 8, 5, 3, 4, 3, 2, 8, 8, 7, 5, 0, 6, 2, 8, 0, 1, 9, 7, 0, 6, 6, 0, 6, 0, 1, 3, 8, 0, 6, 5, 6, 6, 2, 5, 8, 7, 3, 3, 4, 2, 5, 7, 6, 2, 4, 2, 2, 8, 9, 5, 7, 8, 7, 4, 0, 4, 4, 7, 0, 4, 2, 7, 8, 6, 7, 0, 6, 8, 2, 5, 9, 8, 0, 2, 4, 6, 8, 6, 8, 3, 2, 4, 4, 7, 9, 7, 9, 7, 2, 5, 7, 1, 5, 8, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Formula in Donoho, p.10. Lower bound in A143148.

Also 10 times the decimal expansion of the Fresnel integrals int_{x=0..infinity} x*sin(x^4) dx = int_{x=0..infinity} x*cos(x^4) dx.

LINKS

Table of n, a(n) for n=1..100.

David L. Donoho and Jared Tanner, Counting the Faces of Randomly-Projected Hypercubes and Orthants, with Applications

Wikipedia, Fresnel Integral

FORMULA

(5/4)*(2*pi)^(1/2).

EXAMPLE

3.13328534328875...

CROSSREFS

Cf. A143148.

Sequence in context: A205453 A110629 A119979 * A268498 A059787 A081325

Adjacent sequences:  A143146 A143147 A143148 * A143150 A143151 A143152

KEYWORD

cons,easy,nonn

AUTHOR

Jonathan Vos Post, Jul 27 2008

STATUS

approved

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Last modified January 22 18:06 EST 2019. Contains 319365 sequences. (Running on oeis4.)