A247306 - cp's OEIS frontend

A247306 Array T(n,k) of the expected value of trace(O)^(2k), where O is an n X n orthogonal matrix randomly selected according to Haar measure, read by antidiagonals.

n	a(n)
1	1
2	1
3	1
4	1
5	3
6	1
7	1
8	3
9	10
10	1
11	1
12	3
13	15
14	35
15	1
16	1
17	3
18	15
19	91
20	126
21	1
22	1
23	3
24	15
25	105
26	603
27	462
28	1
29	1
30	3
31	15
32	105
33	903
34	4213
35	1716
36	1
37	1
38	3
39	15
40	105
41	945
42	8778
43	30537
44	6435
45	1
46	1
47	3
48	15
49	105
50	945
51	10263
52	92235
53	227475
54	24310
55	1

[1, 1, 1, 1, 3, 1, 1, 3, 10, 1, 1, 3, 15, 35, 1, 1, 3, 15, 91, 126, 1, 1, 3, 15, 105, 603, 462, 1, 1, 3, 15, 105, 903, 4213, 1716, 1, 1, 3, 15, 105, 945, 8778, 30537, 6435, 1, 1, 3, 15, 105, 945, 10263, 92235, 227475, 24310, 1]

cp's OEIS Frontend

A247306 Array T(n,k) of the expected value of trace(O)^(2k), where O is an n X n orthogonal matrix randomly selected according to Haar measure, read by antidiagonals.

Table of values

List of values