Triangle T(n, k, m) = b(n, m)/(b(k, m)*b(n-k, m)), with T(0, k, m) = 1, b(n, k) = Product_{j=1..n} ( Sum_{i=0..j-1} (-1)^(j+i)*(j+1)*(k+1)^i*StirlingS1(j-1, i) ), b(n, 0) = n!, and m = 3, read by rows.
A156764
Triangle T(n, k, m) = b(n, m)/(b(k, m)*b(n-k, m)), with T(0, k, m) = 1, b(n, k) = Product_{j=1..n} ( Sum_{i=0..j-1} (-1)^(j+i)*(j+1)*(k+1)^i*StirlingS1(j-1, i) ), b(n, 0) = n!, and m = 3, read by rows.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =6a(5) =1a(6) =1a(7) =40a(8) =40a(9) =1a(10) =1a(11) =300a(12) =2000a(13) =300a(14) =1a(15) =1a(16) =2520a(17) =126000a(18) =126000a(19) =2520a(20) =1a(21) =1a(22) =23520a(23) =9878400a(24) =74088000a(25) =9878400a(26) =23520a(27) =1a(28) =1a(29) =241920
External references
- oeis: A156764