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1, 1, 2, 3/2, 4/(3/2), 5/(4/(3/2)), ...

I suppose there are a lot of variations, but the general idea is the terms are defined by:

f(n)*f(n+1)=n, where n is an integer. The top row is the term # (n), and the bottom one is the actual value of the term

Particularly, I am looking for a way to find the partial sums of the terms.

Any responses are appreciated. Sorry for the unclear formatting...

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