T(n, k) = numerator([x^k] [z^n] ((1 - i*z)/(1 + i*z))^(i*x)*(1 + z^2)^(-3/4)). Numerators of the coefficients of the symmetric Meixner-Pollaczek polynomials P^(3/4)_{n}(x, Pi/2). Triangle read by rows, T(n, k) for 0 <= k <= n.

A344909

T(n, k) = numerator([x^k] [z^n] ((1 - i*z)/(1 + i*z))^(i*x)*(1 + z^2)^(-3/4)). Numerators of the coefficients of the symmetric Meixner-Pollaczek polynomials P^(3/4)_{n}(x, Pi/2). Triangle read by rows, T(n, k) for 0 <= k <= n.

Terms

    a(0) =1a(1) =0a(2) =2a(3) =-3a(4) =0a(5) =2a(6) =0a(7) =-13a(8) =0a(9) =4a(10) =21a(11) =0a(12) =-17a(13) =0a(14) =2a(15) =0a(16) =177a(17) =0a(18) =-7a(19) =0a(20) =4a(21) =-77a(22) =0a(23) =2401a(24) =0a(25) =-25a(26) =0a(27) =4a(28) =0a(29) =-4987

External references