A094718 - cp's OEIS frontend

A094718 Array T read by antidiagonals: T(n,k) is the number of involutions avoiding 132 and 12...k.

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

[0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 3, 4, 1, 0, 1, 2, 3, 5, 4, 1, 0, 1, 2, 3, 6, 8, 8, 1, 0, 1, 2, 3, 6, 9, 13, 8, 1, 0, 1, 2, 3, 6, 10, 18, 21, 16, 1, 0, 1, 2, 3, 6, 10, 19, 27, 34, 16, 1, 0, 1, 2, 3, 6, 10, 20, 33, 54, 55, 32, 1, 0, 1, 2, 3, 6, 10, 20, 34, 61, 81, 89, 32, 1]

cp's OEIS Frontend

A094718 Array T read by antidiagonals: T(n,k) is the number of involutions avoiding 132 and 12...k.

Table of values

List of values

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

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

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