Triangular array read by rows, from polynomial recursion for every other term of Chebyshev orthogonal polynomials of the second kind: U(x,n)=Sin((n+1)*ArcSin(x))/Sin(ArcSin(x)) As q(x,n)=-2*(-1+2*x^2)*q(x,n-1)-q(x,n-1).

A137335

Triangular array read by rows, from polynomial recursion for every other term of Chebyshev orthogonal polynomials of the second kind: U(x,n)=Sin((n+1)*ArcSin(x))/Sin(ArcSin(x)) As q(x,n)=-2*(-1+2*x^2)*q(x,n-1)-q(x,n-1).

Terms

    a(0) =1a(1) =3a(2) =0a(3) =-4a(4) =5a(5) =0a(6) =-20a(7) =0a(8) =16a(9) =7a(10) =0a(11) =-56a(12) =0a(13) =112a(14) =0a(15) =-64a(16) =9a(17) =0a(18) =-120a(19) =0a(20) =432a(21) =0a(22) =-576a(23) =0a(24) =256a(25) =11a(26) =0a(27) =-220a(28) =0a(29) =1232

External references