A335845 - cp's OEIS frontend

A335845 Irregular triangular array T(n,k) read by rows. Row n gives the number of permutations of {1,2,...,n} whose descent set is S for each subset S of {1,2,...,n-1} ordered lexicographically within the rows.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	1
9	3
10	5
11	3
12	3
13	5
14	3
15	1
16	1
17	4
18	9
19	9
20	4
21	6
22	16
23	11
24	11
25	16
26	6
27	4
28	9
29	9
30	4
31	1
32	1
33	5
34	14
35	19
36	14
37	5
38	10
39	35
40	40
41	19
42	26
43	61
44	40
45	26
46	35
47	10
48	10
49	35
50	26
51	40
52	61
53	26
54	19
55	40
56	35
57	10
58	5
59	14
60	19
61	14
62	5
63	1
64	1
65	6
66	20
67	34
68	34
69	20
70	6
71	15
72	64
73	99

[1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 5, 3, 3, 5, 3, 1, 1, 4, 9, 9, 4, 6, 16, 11, 11, 16, 6, 4, 9, 9, 4, 1, 1, 5, 14, 19, 14, 5, 10, 35, 40, 19, 26, 61, 40, 26, 35, 10, 10, 35, 26, 40, 61, 26, 19, 40, 35, 10, 5, 14, 19, 14, 5, 1, 1, 6, 20, 34, 34, 20, 6, 15, 64, 99]

cp's OEIS Frontend

A335845 Irregular triangular array T(n,k) read by rows. Row n gives the number of permutations of {1,2,...,n} whose descent set is S for each subset S of {1,2,...,n-1} ordered lexicographically within the rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	1
9	3
10	5
11	3
12	3
13	5
14	3
15	1
16	1
17	4
18	9
19	9
20	4
21	6
22	16
23	11
24	11
25	16
26	6
27	4
28	9
29	9
30	4
31	1
32	1
33	5
34	14
35	19
36	14
37	5
38	10
39	35
40	40
41	19
42	26
43	61
44	40
45	26
46	35
47	10
48	10
49	35
50	26
51	40
52	61
53	26
54	19
55	40
56	35
57	10
58	5
59	14
60	19
61	14
62	5
63	1
64	1
65	6
66	20
67	34
68	34
69	20
70	6
71	15
72	64
73	99

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	1
9	3
10	5
11	3
12	3
13	5
14	3
15	1
16	1
17	4
18	9
19	9
20	4
21	6
22	16
23	11
24	11
25	16
26	6
27	4
28	9
29	9
30	4
31	1
32	1
33	5
34	14
35	19
36	14
37	5
38	10
39	35
40	40
41	19
42	26
43	61
44	40
45	26
46	35
47	10
48	10
49	35
50	26
51	40
52	61
53	26
54	19
55	40
56	35
57	10
58	5
59	14
60	19
61	14
62	5
63	1
64	1
65	6
66	20
67	34
68	34
69	20
70	6
71	15
72	64
73	99

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	2
7	1
8	1
9	3
10	5
11	3
12	3
13	5
14	3
15	1
16	1
17	4
18	9
19	9
20	4
21	6
22	16
23	11
24	11
25	16
26	6
27	4
28	9
29	9
30	4
31	1
32	1
33	5
34	14
35	19
36	14
37	5
38	10
39	35
40	40
41	19
42	26
43	61
44	40
45	26
46	35
47	10
48	10
49	35
50	26
51	40
52	61
53	26
54	19
55	40
56	35
57	10
58	5
59	14
60	19
61	14
62	5
63	1
64	1
65	6
66	20
67	34
68	34
69	20
70	6
71	15
72	64
73	99