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Decimal expansion of 1/(2*(Pi-2)), the upper bound of the 3-dimensional simultaneous Diophantine approximation constant.
4

%I #5 Jun 26 2014 11:10:20

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

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

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

%N Decimal expansion of 1/(2*(Pi-2)), the upper bound of the 3-dimensional simultaneous Diophantine approximation constant.

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.23 Diophantine Approximation Constants, p. 174.

%H W. G. Spohn, <a href="http://www.jstor.org/discover/10.2307/2373489">Blichfeldt's Theorem and Simultaneous Diophantine Approximation</a>

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/BlichfeldtsTheorem.html">Blichfeldt's Theorem</a>

%e 0.4379845984710271653...

%t RealDigits[1/(2*(Pi - 2)), 10, 104] // First

%Y Cf. A244334, A244336, A244337, A244338.

%K nonn,cons,easy

%O 0,1

%A _Jean-François Alcover_, Jun 26 2014