OFFSET
1,2
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, ...
MATHEMATICA
nxt[{n_, a_}]:={n+1, n^2/a+a/n^2+2}; NestList[nxt, {1, 1}, 10][[All, 2]]//Numerator (* Harvey P. Dale, Sep 22 2020 *)
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Aug 29 2004
STATUS
approved