Search: id:A072450
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%I A072450
%S A072450 1,1,3,7,1,1,1,2,3,1,4,1,1,2,1,2,20,1,2,2,2,1,2,1,1,6,2,8,5,13,2,3,1,1,
%T A072450 115,1,4,38,4,3,1,2,1,1,1,14,1,10,4,4,5,2,2,3,19,1,1,1,5,2,1,4,1,3,1,3,
%U A072450 4,1,8,47,33,1,1,5,13,1,14,1,5,1,1,2,17,2,1,108,9,16,3,1,2,2,3,1,5,6,2
%N A072450 Continued fraction expansion of the limit of a nested radical, sqrt(1 
               + sqrt(2 + sqrt(3 + sqrt(4 + ... )))).
%C A072450 Sqrt(1 + Sqrt(2 + Sqrt(3 + Sqrt(4 + ... = 1.75793275661800...
%C A072450 Increasing partial continued fractions of the above are 1, 3, 7, 20, 
               115, 233, 301, 328, 16902, ...
%D A072450 Calvin C. Clawson, "Mathematical Mysteries, the beauty and magic of numbers,
               " Perseus Books, Cambridge, Mass., 1996, pages 142 & 229.
%D A072450 David Wells, "The Penguin Dictionary of Curious and Interesting Numbers,
               " Revised Edition, London, England, 1997, page 30.
%H A072450 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               NestedRadical.html">Link to a section of The World of Mathematics</
               a>
%t A072450 ContinuedFraction[ Fold[ Sqrt[ #1 + #2] &, 0, Reverse[ Range[100]]], 
               100]
%Y A072450 Cf. A072449.
%Y A072450 Sequence in context: A103844 A074051 A048292 this_sequence A085785 A127929 
               A003118
%Y A072450 Adjacent sequences: A072447 A072448 A072449 this_sequence A072451 A072452 
               A072453
%K A072450 cofr,nonn
%O A072450 1,3
%A A072450 Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 01 2002

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