`a_n=2+2/n-1/n^2`
Assume n begins with 1,
`a_1=2+2/1-1/(1)^2=2+2-1=3`
`a_2=2+2/2-1/2^2=2+1-1/4=11/4`
`a_3=2+2/3-1/3^2=2+2/3-1/9=23/9`
`a_4=2+2/4-1/4^2=2+1/2-1/16=39/16`
`a_5=2+2/5-1/5^2=2+2/5-1/25=59/25`
The first five terms of the sequence are `3,11/4,23/9,39/16,59/25`
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