Triangle T(n, k, m) = f(n, m)/(f(k, m)*f(n-k, m)), where T(0, k, m) = 1, f(n, k) = Product_{j=1..n} ( j!*((k+1)^j -1)/k ), f(n, 0) = n!, and m = 3, read by rows.

A156767

Triangle T(n, k, m) = f(n, m)/(f(k, m)*f(n-k, m)), where T(0, k, m) = 1, f(n, k) = Product_{j=1..n} ( j!*((k+1)^j -1)/k ), f(n, 0) = n!, and m = 3, read by rows.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =10a(5) =1a(6) =1a(7) =126a(8) =126a(9) =1a(10) =1a(11) =2040a(12) =25704a(13) =2040a(14) =1a(15) =1a(16) =40920a(17) =8347680a(18) =8347680a(19) =40920a(20) =1a(21) =1a(22) =982800a(23) =4021617600a(24) =65111904000a(25) =4021617600a(26) =982800a(27) =1a(28) =1a(29) =27523440

External references