A161123 - cp's OEIS frontend

A161123 Triangle read by rows: T(n,k) is the number of fixed-point-free involutions of {1,2,...,2n} having k inversions (0 <= k <= n(2n-1)).

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	0
11	0
12	0
13	1
14	0
15	2
16	0
17	3
18	0
19	3
20	0
21	3
22	0
23	2
24	0
25	1
26	0
27	0
28	0
29	0
30	1
31	0
32	3
33	0
34	6
35	0
36	9
37	0
38	12
39	0
40	14
41	0
42	15
43	0
44	14
45	0
46	12
47	0
48	9
49	0
50	6
51	0
52	3
53	0
54	1
55	0
56	0
57	0
58	0
59	0
60	1
61	0
62	4
63	0
64	10
65	0
66	19
67	0
68	31
69	0
70	45
71	0
72	60
73	0
74	74
75	0
76	86
77	0
78	94
79	0
80	97
81	0
82	94
83	0
84	86
85	0
86	74
87	0
88	60
89	0
90	45
91	0
92	31
93	0
94	19

[1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 3, 0, 3, 0, 3, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 3, 0, 6, 0, 9, 0, 12, 0, 14, 0, 15, 0, 14, 0, 12, 0, 9, 0, 6, 0, 3, 0, 1, 0, 0, 0, 0, 0, 1, 0, 4, 0, 10, 0, 19, 0, 31, 0, 45, 0, 60, 0, 74, 0, 86, 0, 94, 0, 97, 0, 94, 0, 86, 0, 74, 0, 60, 0, 45, 0, 31, 0, 19]

cp's OEIS Frontend

A161123 Triangle read by rows: T(n,k) is the number of fixed-point-free involutions of {1,2,...,2n} having k inversions (0 <= k <= n(2n-1)).

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	0
11	0
12	0
13	1
14	0
15	2
16	0
17	3
18	0
19	3
20	0
21	3
22	0
23	2
24	0
25	1
26	0
27	0
28	0
29	0
30	1
31	0
32	3
33	0
34	6
35	0
36	9
37	0
38	12
39	0
40	14
41	0
42	15
43	0
44	14
45	0
46	12
47	0
48	9
49	0
50	6
51	0
52	3
53	0
54	1
55	0
56	0
57	0
58	0
59	0
60	1
61	0
62	4
63	0
64	10
65	0
66	19
67	0
68	31
69	0
70	45
71	0
72	60
73	0
74	74
75	0
76	86
77	0
78	94
79	0
80	97
81	0
82	94
83	0
84	86
85	0
86	74
87	0
88	60
89	0
90	45
91	0
92	31
93	0
94	19

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	0
11	0
12	0
13	1
14	0
15	2
16	0
17	3
18	0
19	3
20	0
21	3
22	0
23	2
24	0
25	1
26	0
27	0
28	0
29	0
30	1
31	0
32	3
33	0
34	6
35	0
36	9
37	0
38	12
39	0
40	14
41	0
42	15
43	0
44	14
45	0
46	12
47	0
48	9
49	0
50	6
51	0
52	3
53	0
54	1
55	0
56	0
57	0
58	0
59	0
60	1
61	0
62	4
63	0
64	10
65	0
66	19
67	0
68	31
69	0
70	45
71	0
72	60
73	0
74	74
75	0
76	86
77	0
78	94
79	0
80	97
81	0
82	94
83	0
84	86
85	0
86	74
87	0
88	60
89	0
90	45
91	0
92	31
93	0
94	19

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	0
11	0
12	0
13	1
14	0
15	2
16	0
17	3
18	0
19	3
20	0
21	3
22	0
23	2
24	0
25	1
26	0
27	0
28	0
29	0
30	1
31	0
32	3
33	0
34	6
35	0
36	9
37	0
38	12
39	0
40	14
41	0
42	15
43	0
44	14
45	0
46	12
47	0
48	9
49	0
50	6
51	0
52	3
53	0
54	1
55	0
56	0
57	0
58	0
59	0
60	1
61	0
62	4
63	0
64	10
65	0
66	19
67	0
68	31
69	0
70	45
71	0
72	60
73	0
74	74
75	0
76	86
77	0
78	94
79	0
80	97
81	0
82	94
83	0
84	86
85	0
86	74
87	0
88	60
89	0
90	45
91	0
92	31
93	0
94	19