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

A364303

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

Terms

    a(0) =1a(1) =1a(2) =-2a(3) =1a(4) =0a(5) =6a(6) =1a(7) =4a(8) =-6a(9) =-20a(10) =1a(11) =10a(12) =36a(13) =0a(14) =70a(15) =1a(16) =18a(17) =300a(18) =400a(19) =90a(20) =-252a(21) =1a(22) =28a(23) =1050a(24) =11440a(25) =4900a(26) =0a(27) =924a(28) =1a(29) =40

External references