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%I #7 Aug 04 2024 20:14:36
%S 3,59,8,1,2,1,1,1,1,1,2,6,1,1,3,2,1,7,1,3,2,8,5,1,3,2,6,1,2,2,2,7,1,1,
%T 3,1,10,3,1,1,3,1,1,1,2,2,3,1,1,3,2,2,1,1,1,1,1,1,1,5,9,2,1,21,3,1,1,
%U 2,1,13,1,3,1,1,1,1,2,2,1,3,5,1,1,2,1,3,1,1,6,4,2,1,2,1,2,9,5,16,4,1,2,2,4
%N Continued fraction expansion of (Khinchin + (4+Khinchin*Khinchin)^(1/2))/2 [A100485], where Khinchin is Khinchin's constant (A002210).
%C The geometric mean of the first 5000 partial quotients (Product[a(n),{n,1,5000}]^(1/5000)), approximately 2.6289, suggests this constant's partial quotients do indeed converge to Khinchin's constant.
%t ContinuedFraction[(Khinchin + (4+Khinchin*Khinchin)^(1/2))/2, 130]
%Y Cf. A100485 (decimal expansion), A002210.
%K base,cofr,nonn
%O 0,1
%A Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 01 2004
%E Offset changed by _Andrew Howroyd_, Aug 04 2024