A180848 - OEIS

%I #4 Mar 30 2012 18:35:54

%S 14,5,6,2,71,1,19,1,4,1,1,1,9,1,4,1,1,464,2,4,1,1,2,3,3,2,1,1,23,2,1,

%T 1,9,4,1,1,3,11,6,1,1,1,14,2,5,8,33,7,5,2,5,5,2,3,10,3,1,1,1,8,1,2,1,

%U 7,1,1,6,1,1,11,1,7,11,5,5,1,1,7,4,1,7,1,1,4,2,24,2,16,3,1,14,3,4,2,1,2,1

%N Continued fraction for Khintchin^Khintchin.

%C Continued fraction for the constant A002210 raised to its own power.

%H D. Shanks, <a href="http://www.jstor.org/stable/2003898">Further evaluation of Khintchine's constant</a>, Math. Comp., 14 (1960), 370-371.

%H D. Shanks and J. W. Wrench, Jr., <a href="http://www.jstor.org/stable/2309633">Khintchine's constant</a>, Amer. Math. Monthly, 66 (1959), 276-279.

%e Khintchin^Khintchin = 14.194026774480... = 14 + 1/(5 + 1/(6 + 1/(2 + 1/(71 + 1/(1 + ...)))))

%t ContinuedFraction[Khinchin^Khinchin, 100]

%Y Cf. A002210, A002211

%K nonn,cofr

%O 1,1

%A _Michel Lagneau_, Sep 20 2010

%E References converted to links - _R. J. Mathar_, Oct 06 2010