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1, 12, 36, 80, 150, 252.........Please give the next three terms and its generating formula. Thanks for any help.

 Oct 29, 2016
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1, 12, 36, 80, 150, 252, 392, 576, 810..........etc.

 

If your first term were 2, then either of the following generating functions would work:

a(n) = n^2*(n+1), or

a(n) = n^3 + n^2

You may check carefully to make sure of the first term.

 Oct 30, 2016

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