Search: id:A051762
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%I A051762
%S A051762 8,7,0,0,0,3,6,6,2,5,2,0,8,1,9,4,5,0,3,2,2,2,4,0,9,8,5,9,1,1,3,0,0,4,9,
%T A051762 7,1,1,9,3,2,9,7,9,4,9,7,4,2,8,9,2,0,9,2,1,5,9,6,6,7,2,7,8,6,8,3,4,2,9,
%U A051762 9,6,4,1,1,4,0,2,5,1,5,9,1,1,8,5,4,4,4,1,4,0,0,9,2,4,9,5,2,8,5,5
%N A051762 Polygon circumscribing constant; decimal expansion of Product_{n=3..infinity} 
               1/Cosine(Pi/n).
%C A051762 The geometric interpretation is as follows. Begin with a unit circle. 
               Circumscribe an equilateral triangle and then circumscribe a circle. 
               Circumscribe a square and then circumscribe a circle. Circumscribe 
               a regular pentagon and then circumscribe a circle, etc.
%C A051762 Circles have radius which converges to this value.
%H A051762 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PolygonCircumscribing.html">Polygon Circumscribing</a>
%e A051762 8.70003662520...
%t A051762 RealDigits[ N[ Product[ 1 / Cos[Pi/n], {n, 3, Infinity}], 75]] [[1]]
%Y A051762 Cf. A085365.
%Y A051762 Sequence in context: A058088 A112145 A038284 this_sequence A155094 A154401 
               A019814
%Y A051762 Adjacent sequences: A051759 A051760 A051761 this_sequence A051763 A051764 
               A051765
%K A051762 nonn,cons
%O A051762 1,1
%A A051762 Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 23 2000
%E A051762 More terms from Eric Weisstein (eric(AT)weisstein.com), Jun 25, 2003

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