A144278 Third column (m=3) of triangle S2hat(-2) = A144275.
1, 2, 14, 108, 1180, 15400, 255400, 4888960, 109951360, 2793984000, 79855107200, 2522981120000, 87503244928000, 3299660415744000, 134477619593856000, 5887149103503360000, 275541626811601920000, 13727736328568199168000, 725335510624740370432000
Offset: 0
Formula
a(n) = A144275(n+3,3), n>=0.