Triangle T(n, k, m) = (m+1)^n*t(n, m)*t(k, n-m)/(k! * (n-k)!), where T(0, k, m) = 1, t(n, k) = Product_{j=1..n} ( Sum_{i=0..j-1} (m+1)^i ), and t(n, 0) = n!, read by rows.
A157285
Triangle T(n, k, m) = (m+1)^n*t(n, m)*t(k, n-m)/(k! * (n-k)!), where T(0, k, m) = 1, t(n, k) = Product_{j=1..n} ( Sum_{i=0..j-1} (m+1)^i ), and t(n, 0) = n!, read by rows.
Terms
- a(0) =1a(1) =2a(2) =2a(3) =6a(4) =12a(5) =18a(6) =28a(7) =84a(8) =336a(9) =1456a(10) =210a(11) =840a(12) =6300a(13) =88200a(14) =1874250a(15) =2604a(16) =13020a(17) =156240a(18) =4843440a(19) =377788320a(20) =59010535584a(21) =54684a(22) =328104a(23) =5741820a(24) =329197680a(25) =63946649340a(28) =1984248a(29) =13889736
External references
- oeis: A157285