T(n, k) = Sum_{j=0..k} (-1)^j*binomial(2*k, j)*(k - j)^(2*n), triangle read by rows, n >= 0 and 0 <= k <= n.
A304330
T(n, k) = Sum_{j=0..k} (-1)^j*binomial(2*k, j)*(k - j)^(2*n), triangle read by rows, n >= 0 and 0 <= k <= n.
Terms
- a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =12a(6) =0a(7) =1a(8) =60a(9) =360a(10) =0a(11) =1a(12) =252a(13) =5040a(14) =20160a(15) =0a(16) =1a(17) =1020a(18) =52920a(19) =604800a(20) =1814400a(21) =0a(22) =1a(23) =4092a(24) =506880a(25) =12640320a(26) =99792000a(27) =239500800a(28) =0a(29) =1
External references
- oeis: A304330