Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(0,k) = 1 and A(n,k) = - k! * Sum_{i=0..n-1} binomial(n-1,i) * binomial(i+1,k) * A(n-1-i,k) for n > 0.
A293019
Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(0,k) = 1 and A(n,k) = - k! * Sum_{i=0..n-1} binomial(n-1,i) * binomial(i+1,k) * A(n-1-i,k) for n > 0.
Terms
- a(0) =1a(1) =1a(2) =-1a(3) =1a(4) =-1a(5) =0a(6) =1a(7) =0a(8) =-1a(9) =1a(10) =1a(11) =0a(12) =-2a(13) =2a(14) =1a(15) =1a(16) =0a(17) =0a(18) =-6a(19) =9a(20) =-2a(21) =1a(22) =0a(23) =0a(24) =-6a(25) =0a(26) =4a(27) =-9a(28) =1a(29) =0
External references
- oeis: A293019