A sequence not found in the OEIS: part 10

Sequence name: binomial coefficient C(n^2, 3) (n = 2, 3, 4,…).

4, 84, 560, 2300, 7140, 18424, 41664, 85320, 161700,
287980

PS

Computation was performed by using PARI/GP, Ruby, and YACAS. And I welcome more terms.

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