What are the rules of 1 / 2,1 / 3,1 / 10,1 / 15,1 / 26,1 / 35 sequence?

Look at the denominator:
2=1x1+1
3=2x2-1
10=3x3+1
15=4x4-1
26=5x5+1
35=6x6-1
.
Odd term = NxN + 1
Even term = nxn-1

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