Square array read by ascending antidiagonals: T(n,k) = [x^k] (1 - x)^(2*k) * Legendre_P(n*k-1, (1 + x)/(1 - x)) for n, k >= 0.

A364513

Square array read by ascending antidiagonals: T(n,k) = [x^k] (1 - x)^(2*k) * Legendre_P(n*k-1, (1 + x)/(1 - x)) for n, k >= 0.

Terms

    a(0) =1a(1) =1a(2) =-2a(3) =1a(4) =-2a(5) =6a(6) =1a(7) =0a(8) =0a(9) =-20a(10) =1a(11) =4a(12) =0a(13) =16a(14) =70a(15) =1a(16) =10a(17) =126a(18) =0a(19) =0a(20) =-252a(21) =1a(22) =18a(23) =594a(24) =4900a(25) =0a(26) =-252a(27) =924a(28) =1a(29) =28

External references