Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (-1)^(k+1) * k! * Sum_{i=0..n-1} (-1)^i * binomial(n-1,i) * binomial(i+1,k) * T(n-1-i,k) for n > 0.
A292973
Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) = 1 and T(n,k) = (-1)^(k+1) * k! * Sum_{i=0..n-1} (-1)^i * binomial(n-1,i) * binomial(i+1,k) * T(n-1-i,k) for n > 0.
Terms
- a(0) =1a(1) =1a(2) =-1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =0a(8) =-1a(9) =-5a(10) =1a(11) =0a(12) =2a(13) =-2a(14) =15a(15) =1a(16) =0a(17) =0a(18) =-6a(19) =9a(20) =-52a(21) =1a(22) =0a(23) =0a(24) =6a(25) =24a(26) =-4a(27) =203a(28) =1a(29) =0
External references
- oeis: A292973