T(n,k) = (-1)^n*(binomial(2*k,k)/(k+1))*Sum_{j=0..n} (-1)^j*binomial(k,j)*j^n. Triangle read by rows, T(n, k) for n >= 0 and 0 <= k <= n.
A335748
T(n,k) = (-1)^n*(binomial(2*k,k)/(k+1))*Sum_{j=0..n} (-1)^j*binomial(k,j)*j^n. Triangle read by rows, T(n, k) for n >= 0 and 0 <= k <= n.
Terms
- a(0) =1a(1) =0a(2) =1a(3) =0a(4) =-1a(5) =4a(6) =0a(7) =1a(8) =-12a(9) =30a(10) =0a(11) =-1a(12) =28a(13) =-180a(14) =336a(15) =0a(16) =1a(17) =-60a(18) =750a(19) =-3360a(20) =5040a(21) =0a(22) =-1a(23) =124a(24) =-2700a(25) =21840a(26) =-75600a(27) =95040a(28) =0a(29) =1
External references
- oeis: A335748