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%I #13 Jun 22 2021 12:30:52
%S 1,1,0,6,4,9,5,7,7,1,4
%N Decimal expansion of de Bruijn's constant.
%C From _Amiram Eldar_, Jun 22 2021: (Start)
%C The minimal number c such that for any sequence of nonnegative numbers b(k) the following inequality always holds: Sum_{k>=1} b(k) <= c * Sum_{k>=1} sqrt(Sum_{i>=k} b(i)^2/k).
%C Also called the Copson-de Bruijn constant after the British mathematician Edward Thomas Copson (1901-1980) and the Dutch mathematician Nicolaas Govert de Bruijn (1918-2012). (End)
%D R. P. Boas and N. G. de Bruijn, Solution for problem 83, Wiskundige Opgaven met de Oplossingen, Vol. 20 (1957), pp. 2-4.
%D N. G. de Bruijn, Asymptotic Methods in Analysis, New York: Dover, 1981. See p. 174.
%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, pp. 217-219.
%H E. T. Copson, <a href="https://doi.org/10.1112/jlms/s1-2.1.9">Note on Series of Positive Terms</a>, J. London Math. Soc., Vol. 2 (1927), pp. 9-12.
%H E. T. Copson, <a href="https://doi.org/10.1112/jlms/s1-3.1.49">Note on Series of Positive Terms</a>, J. London Math. Soc., Vol. 3 (1928), pp. 49-51.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/deBruijnConstant.html">de Bruijn Constant</a>.
%e 1.1064957714...
%K nonn,cons,hard,more
%O 1,4
%A _Eric W. Weisstein_, Oct 21 2005
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