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Continued fraction expansion for BesselI(0,2).
3

%I #14 Sep 10 2018 04:53:49

%S 2,3,1,1,2,1,3,7,4,3,1,2,2,1,2,1,1,2,7,8,1,1,21,1,16,2,1,8,1,1,8,1,35,

%T 1,2,1,1,4,1,1,1,3,132,3,1,10,2,1,1,1,1,2,2,6,100,1,1,26,1,66,1,2,16,

%U 1,4,52,2,1,1,1,16,8,1,3,172,1,3,1,3,3,1,13,1,5,2,1,4,3,1,3,4,7,1,1,23,1

%N Continued fraction expansion for BesselI(0,2).

%C The continued fraction terms satisfy the Gauss-Kuzmin distribution. - _A.H.M. Smeets_, Aug 21 2018

%H A.H.M. Smeets, <a href="/A070913/b070913.txt">Table of n, a(n) for n = 0..20000</a>

%F BesselI(0, 2) = sum(k=>0, 1/k!^2) = 2.27958530233...

%o (PARI) contfrac(besseli(0,2)) \\ _Charles R Greathouse IV_, Feb 19 2014

%Y Cf. A070910 (decimal expansion). - _A.H.M. Smeets_, Aug 21 2018

%K cofr,easy,nonn

%O 0,1

%A _Benoit Cloitre_, May 20 2002