A387138 Triangle read by rows: T(n, k) = binomial(n, k) * Product_{k=1..n} radical(k), where radical(n) is the product of distinct prime factors of n, cf. A007947.
1, 1, 1, 2, 4, 2, 6, 18, 18, 6, 12, 48, 72, 48, 12, 60, 300, 600, 600, 300, 60, 360, 2160, 5400, 7200, 5400, 2160, 360, 2520, 17640, 52920, 88200, 88200, 52920, 17640, 2520, 5040, 40320, 141120, 282240, 352800, 282240, 141120, 40320, 5040
Offset: 0
Examples
Triangle begins: [0] 1; [1] 1, 1; [2] 2, 4, 2; [3] 6, 18, 18, 6; [4] 12, 48, 72, 48, 12; [5] 60, 300, 600, 600, 300, 60; [6] 360, 2160, 5400, 7200, 5400, 2160, 360; [7] 2520, 17640, 52920, 88200, 88200, 52920, 17640, 2520; [8] 5040, 40320, 141120, 282240, 352800, 282240, 141120, 40320, 5040;