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If there is a mystery function F(a,n) and the results are as follows : F(a, 1) = (a, 4a) F(a,2) = (a ^ 3 ,

If there is a mystery function F(a,n)
and the results are as follows :
F(a, 1) = (a, 4a)
F(a,2) = (a ^ 3 , 12a)
F(a,3) = (a ^ 6 , 24a)
F(a,4) = (a ^ 10 , 40a)
what would the general closed form formula be for this function to get values a and n , F(a, n ) = ?

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