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A245286 Decimal expansion of the Landau-Kolmogorov constant C(4,1) for derivatives in L_2(0, infinity). 2

%I #8 Sep 15 2014 07:35:35

%S 2,2,7,4,3,2,2,3,5,0,9,7,9,9,3,7,1,1,8,1,6,0,6,4,4,3,1,2,0,6,6,9,7,8,

%T 3,9,8,9,6,6,6,2,8,5,6,7,9,9,0,1,0,6,9,7,1,8,0,6,1,1,9,9,1,7,1,4,8,4,

%U 6,4,8,1,7,0,5,8,8,1,1,5,3,1,4,8,7,0,3,6,5,9,4,6,4,5,5,2,1,0,9,2,2,3,9

%N Decimal expansion of the Landau-Kolmogorov constant C(4,1) for derivatives in L_2(0, infinity).

%C See A244091.

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.3 Landau-Kolmogorov constants, p. 214.

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/Landau-KolmogorovConstants.html">Landau-Kolmogorov Constants</a>

%F (1/a*(3^(1/4) + 3^(-3/4)))^(1/2), where a is the smallest positive root of x^8 - 6*x^4 - 8*x^2 + 1.

%e 2.274322350979937118160644312066978398966628567990106971806119917148464817...

%t a = Root[x^8 - 6*x^4 - 8*x^2 + 1, 3]; RealDigits[(1/a*(3^(1/4) + 3^(-3/4)))^(1/2), 10, 103] // First

%Y Cf. A244091, A245287.

%K nonn,cons,easy

%O 1,1

%A _Jean-François Alcover_, Jul 16 2014

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Last modified July 16 04:20 EDT 2024. Contains 374343 sequences. (Running on oeis4.)