A triangular sequence of four back recursive polynomial that are Hermite H(x,n) like and alternating orthogonal on domain {-Infinity,Infinity} and weight function Exp[ -x^2/2]: P(x, n) = 2*x*P(x, n - 1) - n*P(x, n - 2) + 4*x^3*P(x, n - 3)-n^2*P(x, n - 4).
A138092
A triangular sequence of four back recursive polynomial that are Hermite H(x,n) like and alternating orthogonal on domain {-Infinity,Infinity} and weight function Exp[ -x^2/2]: P(x, n) = 2*x*P(x, n - 1) - n*P(x, n - 2) + 4*x^3*P(x, n - 3)-n^2*P(x, n - 4).
Terms
- a(0) =1a(1) =0a(2) =2a(3) =-2a(4) =0a(5) =4a(6) =0a(7) =-10a(8) =0a(9) =12a(10) =-8a(11) =0a(12) =-36a(13) =0a(14) =32a(15) =0a(16) =-16a(17) =0a(18) =-140a(19) =0a(20) =80a(21) =120a(22) =0a(23) =40a(24) =0a(25) =-512a(26) =0a(27) =208a(28) =0a(29) =842
External references
- oeis: A138092