Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = (-1)^k * [m^k] (1/2^(m-n)) * Sum_{k=0..m} k^n * (-1)^m * 3^(m-k) * binomial(m,k).
A383149
Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = (-1)^k * [m^k] (1/2^(m-n)) * Sum_{k=0..m} k^n * (-1)^m * 3^(m-k) * binomial(m,k).
Terms
- a(0) =1a(1) =0a(2) =1a(3) =0a(4) =3a(5) =1a(6) =0a(7) =12a(8) =9a(9) =1a(10) =0a(11) =66a(12) =75a(13) =18a(14) =1a(15) =0a(16) =480a(17) =690a(18) =255a(19) =30a(20) =1a(21) =0a(22) =4368a(23) =7290a(24) =3555a(25) =645a(26) =45a(27) =1a(28) =0a(29) =47712
External references
- oeis: A383149