T(n, k) = Sum_{j=0..k} (-1)^j*binomial(2*k, j)*(k - j)^(2*n)/k!, triangle read by rows, n >= 0 and 0 <= k <= n.
A304334
T(n, k) = Sum_{j=0..k} (-1)^j*binomial(2*k, j)*(k - j)^(2*n)/k!, triangle read by rows, n >= 0 and 0 <= k <= n.
Terms
- a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =6a(6) =0a(7) =1a(8) =30a(9) =60a(10) =0a(11) =1a(12) =126a(13) =840a(14) =840a(15) =0a(16) =1a(17) =510a(18) =8820a(19) =25200a(20) =15120a(21) =0a(22) =1a(23) =2046a(24) =84480a(25) =526680a(26) =831600a(27) =332640a(28) =0a(29) =1
External references
- oeis: A304334