A173591 - cp's OEIS frontend

A173591 T(n, k) = k^nU(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).

n	a(n)
0	2
1	1
2	1
3	0
4	-6
5	0
6	1
7	-3
8	-3
9	1
10	2
11	-18
12	110
13	-18
14	2
15	1
16	-35
17	-159
18	-159
19	-35
20	1
21	0
22	10
23	3000
24	-5790
25	3000
26	10
27	0
28	1
29	-139
30	-15091
31	27457
32	27457
33	-15091
34	-139
35	1
36	2
37	30
38	110454
39	-595250
40	578402
41	-595250
42	110454
43	30
44	2
45	1
46	5
47	-715167
48	7576241
49	-5255603
50	7576241
51	-715167
52	5
53	1

[2, 1, 1, 0, -6, 0, 1, -3, -3, 1, 2, -18, 110, -18, 2, 1, -35, -159, -159, -35, 1, 0, 10, 3000, -5790, 3000, 10, 0, 1, -139, -15091, 27457, 27457, -15091, -139, 1, 2, 30, 110454, -595250, 578402, -595250, 110454, 30, 2, 1, 5, -715167, 7576241, -5255603, 7576241, -715167, 5, 1]

cp's OEIS Frontend

A173591 T(n, k) = k^nU(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).

Table of values

List of values

cp's OEIS Frontend

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).

Table of values

List of values

A173591 T(n, k) = k^nU(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).