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A097573
Denominator of f(n) where f(1) = 1, f(n+1) = n^2/f(n) + f(n)/n^2 + 2.
2
1, 1, 1, 36, 97344, 2161134144, 1111852196419369017600, 462046200367699618749878135899012178386694400, 117224333139662940653070504914857570420089294144957107957142671212206786775390019069002137600
OFFSET
1,4
LINKS
Y. Chen and others, Variation of a Ukrainian Olympiad Problem: Problem 10982, Amer. Math. Monthly, 111 (No. 7, 2004), 631-632.
FORMULA
f(n) -> n + 1/2.
EXAMPLE
1, 4, 4, 169/36, 555025/97344, 14291007025/2161134144, ...
CROSSREFS
Cf. A097573.
Sequence in context: A212327 A053945 A357804 * A133015 A203270 A185960
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Aug 29 2004
STATUS
approved