Triangle T(n, k, m) = (m+1)^n*binomial(n,k)*f(n,m)*f(k,n-m)/n!, with T(n, 0, m) = 1, where f(n, k) = Product_{j=1..n} ( (1 - (k+1)^J)/(-k)^j ), f(n, 0) = n!, and m = 0, read by rows.
A157284
Triangle T(n, k, m) = (m+1)^n*binomial(n,k)*f(n,m)*f(k,n-m)/n!, with T(n, 0, m) = 1, where f(n, k) = Product_{j=1..n} ( (1 - (k+1)^J)/(-k)^j ), f(n, 0) = n!, and m = 0, read by rows.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =4a(6) =1a(7) =3a(8) =15a(9) =105a(10) =1a(11) =4a(12) =36a(13) =744a(14) =29016a(15) =1a(16) =5a(17) =70a(18) =3010a(19) =389795a(20) =121226245a(21) =1a(22) =6a(23) =120a(24) =9120a(25) =2736000a(26) =3065414400a(28) =1a(29) =7a(30) =189
External references
- oeis: A157284