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Continued fraction of Pi + sqrt(Pi^2 - 1).
3

%I #8 May 13 2013 01:54:19

%S 6,8,2,1,6,1,1,1,1,1,1,1,1,2,6,1,14,2,1,6,3,1,1,2,3,7,1,1,3,2,2,1,3,

%T 10,1,1,4,3,3,10,1,2,2,18,3,77,1,1,18,1,2,2,4,1,2,8,1,4,1,44,1,28,1,4,

%U 1,1,2,116,1,1,2,2,1,5,4,5,27,4,1,3,1,3,5,1,2,2,1,16,1,3,1,5,2,1,1,25,3,1,1,17,1,5,3,1,2,1,4,12,4,7,42,19,1,2,23,1,3,2,1,4

%N Continued fraction of Pi + sqrt(Pi^2 - 1).

%H Charles R Greathouse IV, <a href="/A189090/b189090.txt">Table of n, a(n) for n = 0..10000</a>

%t r = 2*Pi; t = (r + (-4 + r^2)^(1/2))/2; FullSimplify[t]

%t N[t, 130]

%t RealDigits[N[t, 130]][[1]] (*A189089*)

%t ContinuedFraction[t, 120] (*A189090*)

%o (PARI) contfrac(Pi+sqrt(Pi^2-1)) \\ _Charles R Greathouse IV_, Jul 29 2011

%Y Cf. A189089, A189088.

%K nonn,cofr

%O 0,1

%A _Clark Kimberling_, Apr 16 2011

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Last modified September 23 08:11 EDT 2024. Contains 376145 sequences. (Running on oeis4.)