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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 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.)