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%I #9 Jan 10 2017 02:37:15
%S 2,3,4,1,6,2,7,7,1,8,5,1,1,4,7,8,4,3,1,7,6,6,5,8,6,0,6,2,2,9,6,9,5,5,
%T 6,7,8,7,1,2,6,0,8,5,4,7,7,4,4,0,1,9,0,1,3,6,1,5,4,5,7,3,8,1,7,6,8,8,
%U 6,3,5,0,9,1,2,8,7,0,7,8,0,4,6,6,8,6,4,0,8,5,5,5,1,8,5,8,8,7,5,5
%N Decimal expansion of the nested surd sqrt(Pi + sqrt(Pi + sqrt(Pi + ...))).
%H G. C. Greubel, <a href="/A100941/b100941.txt">Table of n, a(n) for n = 1..5000</a>
%F This is the solution of the quadratic equation y^2-y-Pi=0.
%e 2.34162771851147843176658606229695567871260854774401...
%t RealDigits[(1+Sqrt[1+4Pi])/2,10,120][[1]] (* _Harvey P. Dale_, Dec 04 2014 *)
%o (PARI) default(realprecision,100):t=0:for(n=1,5000,t=sqrt(t+Pi)):return(t)
%Y Cf. A100942 for continued fraction.
%K cons,nonn
%O 1,1
%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 23 2004
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