A triangular sequence of coefficients made from a product sum of the Pascal/binomial and the Chebyshev T Polynomials: t(n,m)=-Sum[Binomial[n + 1, k + 1]*CoefficientList[ChebyshevT[k + 1, x], x][[m]], {k, m, n}].

A142701

A triangular sequence of coefficients made from a product sum of the Pascal/binomial and the Chebyshev T Polynomials: t(n,m)=-Sum[Binomial[n + 1, k + 1]*CoefficientList[ChebyshevT[k + 1, x], x][[m]], {k, m, n}].

Terms

    a(0) =1a(1) =3a(2) =3a(3) =5a(4) =12a(5) =8a(6) =5a(7) =25a(8) =40a(9) =20a(10) =1a(11) =30a(12) =102a(13) =120a(14) =48a(15) =-7a(16) =7a(17) =154a(18) =364a(19) =336a(20) =112a(21) =-15a(22) =-56a(23) =88a(24) =672a(25) =1184a(26) =896a(27) =256a(28) =-15a(29) =-135

External references