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%I #6 Nov 20 2017 11:34:13
%S 1,1,1,36,97344,2161134144,1111852196419369017600,
%T 462046200367699618749878135899012178386694400,
%U 117224333139662940653070504914857570420089294144957107957142671212206786775390019069002137600
%N Denominator of f(n) where f(1) = 1, f(n+1) = n^2/f(n) + f(n)/n^2 + 2.
%H Y. Chen and others, <a href="http://www.jstor.org/stable/4145179">Variation of a Ukrainian Olympiad Problem: Problem 10982</a>, Amer. Math. Monthly, 111 (No. 7, 2004), 631-632.
%F f(n) -> n + 1/2.
%e 1, 4, 4, 169/36, 555025/97344, 14291007025/2161134144, ...
%Y Cf. A097573.
%K nonn,frac
%O 1,4
%A _N. J. A. Sloane_, Aug 29 2004