A367873 - cp's OEIS frontend

A367873 Irregular triangle read by rows: T(n,k) = number of permutations of length n avoiding simultaneously the patterns 132 and 321 with the maximum number of non-overlapping ascents equal to k.

n	a(n)
0	1
1	1
2	1
3	0
4	4
5	0
6	4
7	3
8	0
9	0
10	11
11	0
12	0
13	9
14	7
15	0
16	0
17	0
18	22
19	0
20	0
21	0
22	16
23	13
24	0
25	0
26	0
27	0
28	37
29	0
30	0
31	0
32	0
33	25
34	21
35	0
36	0
37	0
38	0
39	0
40	56
41	0
42	0
43	0
44	0
45	0
46	36
47	31
48	0
49	0
50	0
51	0
52	0
53	0
54	79
55	0
56	0
57	0
58	0
59	0
60	0
61	49
62	43
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	106

[1, 1, 1, 0, 4, 0, 4, 3, 0, 0, 11, 0, 0, 9, 7, 0, 0, 0, 22, 0, 0, 0, 16, 13, 0, 0, 0, 0, 37, 0, 0, 0, 0, 25, 21, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 36, 31, 0, 0, 0, 0, 0, 0, 79, 0, 0, 0, 0, 0, 0, 49, 43, 0, 0, 0, 0, 0, 0, 0, 106]

cp's OEIS Frontend

A367873 Irregular triangle read by rows: T(n,k) = number of permutations of length n avoiding simultaneously the patterns 132 and 321 with the maximum number of non-overlapping ascents equal to k.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	0
4	4
5	0
6	4
7	3
8	0
9	0
10	11
11	0
12	0
13	9
14	7
15	0
16	0
17	0
18	22
19	0
20	0
21	0
22	16
23	13
24	0
25	0
26	0
27	0
28	37
29	0
30	0
31	0
32	0
33	25
34	21
35	0
36	0
37	0
38	0
39	0
40	56
41	0
42	0
43	0
44	0
45	0
46	36
47	31
48	0
49	0
50	0
51	0
52	0
53	0
54	79
55	0
56	0
57	0
58	0
59	0
60	0
61	49
62	43
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	106

n	a(n)
0	1
1	1
2	1
3	0
4	4
5	0
6	4
7	3
8	0
9	0
10	11
11	0
12	0
13	9
14	7
15	0
16	0
17	0
18	22
19	0
20	0
21	0
22	16
23	13
24	0
25	0
26	0
27	0
28	37
29	0
30	0
31	0
32	0
33	25
34	21
35	0
36	0
37	0
38	0
39	0
40	56
41	0
42	0
43	0
44	0
45	0
46	36
47	31
48	0
49	0
50	0
51	0
52	0
53	0
54	79
55	0
56	0
57	0
58	0
59	0
60	0
61	49
62	43
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	106

n	a(n)
0	1
1	1
2	1
3	0
4	4
5	0
6	4
7	3
8	0
9	0
10	11
11	0
12	0
13	9
14	7
15	0
16	0
17	0
18	22
19	0
20	0
21	0
22	16
23	13
24	0
25	0
26	0
27	0
28	37
29	0
30	0
31	0
32	0
33	25
34	21
35	0
36	0
37	0
38	0
39	0
40	56
41	0
42	0
43	0
44	0
45	0
46	36
47	31
48	0
49	0
50	0
51	0
52	0
53	0
54	79
55	0
56	0
57	0
58	0
59	0
60	0
61	49
62	43
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	106