A(n,k) = Sum_{j=0..floor(n/k)} (-1)^j*binomial(2*n,k*j+n), square array A(n,k) read by antidiagonals, for n >= 0, k >= 1.

A307668

A(n,k) = Sum_{j=0..floor(n/k)} (-1)^j*binomial(2*n,k*j+n), square array A(n,k) read by antidiagonals, for n >= 0, k >= 1.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =1a(7) =2a(8) =5a(9) =10a(10) =1a(11) =2a(12) =6a(13) =14a(14) =35a(15) =1a(16) =2a(17) =6a(18) =19a(19) =43a(20) =126a(21) =1a(22) =2a(23) =6a(24) =20a(25) =62a(26) =142a(27) =462a(28) =1a(29) =2

External references