T(n, k) = k^n*U(n, (1/k - k)/2) + (n + 1)^(k - 1)*U(k - 1, (1/(n + 1) - n - 1)/2), where U(n,x) is the n-th Chebyshev polynomial of the second kind, square array read by antidiagonals (n >= 0, k >= 1).

A173591

T(n, k) = k^n*U(n, (1/k - k)/2) + (n + 1)^(k - 1)*U(k - 1, (1/(n + 1) - n - 1)/2), where U(n,x) is the n-th Chebyshev polynomial of the second kind, square array read by antidiagonals (n >= 0, k >= 1).

Terms

    a(0) =2a(1) =1a(2) =1a(3) =0a(4) =-6a(5) =0a(6) =1a(7) =-3a(8) =-3a(9) =1a(10) =2a(11) =-18a(12) =110a(13) =-18a(14) =2a(15) =1a(16) =-35a(17) =-159a(18) =-159a(19) =-35a(20) =1a(21) =0a(22) =10a(23) =3000a(24) =-5790a(25) =3000a(26) =10a(27) =0a(28) =1a(29) =-139

External references