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A245287 Decimal expansion of the Landau-Kolmogorov constant C(4,2) for derivatives in L_2(0, infinity). 2

%I

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

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

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

%N Decimal expansion of the Landau-Kolmogorov constant C(4,2) 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 (2/b)^(1/2), where b is the smallest positive root of x^4 - 2*x^2 - 4*x + 1.

%e 2.979633905986221744795512338016149706694228782877136312208125837862...

%t b = Root[x^4 - 2*x^2 - 4*x + 1, 1]; RealDigits[(2/b)^(1/2), 10, 105] // First

%Y Cf. A244091, A245286.

%K nonn,cons,easy

%O 1,1

%A _Jean-Fran├žois Alcover_, Jul 16 2014

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