A360308 - cp's OEIS frontend

A360308 Number T(n,k) of permutations of [n] whose descent set is the k-th finite subset of positive integers in Gray order; triangle T(n,k), n>=0, 0<=k<=ceiling(2^(n-1))-1, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	2
8	1
9	3
10	3
11	5
12	3
13	1
14	5
15	3
16	1
17	4
18	6
19	9
20	11
21	4
22	16
23	9
24	6
25	9
26	1
27	4
28	16
29	9
30	11
31	4
32	1
33	5
34	10
35	14
36	26
37	10
38	35
39	19
40	26
41	40
42	5
43	19
44	61
45	35
46	40
47	14
48	10
49	26
50	19
51	35
52	5
53	1
54	14
55	10
56	35
57	61
58	14
59	40
60	40
61	26
62	19
63	5
64	1
65	6
66	15
67	20
68	50
69	20
70	64
71	34
72	71
73	111

[1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 3, 5, 3, 1, 5, 3, 1, 4, 6, 9, 11, 4, 16, 9, 6, 9, 1, 4, 16, 9, 11, 4, 1, 5, 10, 14, 26, 10, 35, 19, 26, 40, 5, 19, 61, 35, 40, 14, 10, 26, 19, 35, 5, 1, 14, 10, 35, 61, 14, 40, 40, 26, 19, 5, 1, 6, 15, 20, 50, 20, 64, 34, 71, 111]

cp's OEIS Frontend

A360308 Number T(n,k) of permutations of [n] whose descent set is the k-th finite subset of positive integers in Gray order; triangle T(n,k), n>=0, 0<=k<=ceiling(2^(n-1))-1, read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	2
8	1
9	3
10	3
11	5
12	3
13	1
14	5
15	3
16	1
17	4
18	6
19	9
20	11
21	4
22	16
23	9
24	6
25	9
26	1
27	4
28	16
29	9
30	11
31	4
32	1
33	5
34	10
35	14
36	26
37	10
38	35
39	19
40	26
41	40
42	5
43	19
44	61
45	35
46	40
47	14
48	10
49	26
50	19
51	35
52	5
53	1
54	14
55	10
56	35
57	61
58	14
59	40
60	40
61	26
62	19
63	5
64	1
65	6
66	15
67	20
68	50
69	20
70	64
71	34
72	71
73	111

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	2
8	1
9	3
10	3
11	5
12	3
13	1
14	5
15	3
16	1
17	4
18	6
19	9
20	11
21	4
22	16
23	9
24	6
25	9
26	1
27	4
28	16
29	9
30	11
31	4
32	1
33	5
34	10
35	14
36	26
37	10
38	35
39	19
40	26
41	40
42	5
43	19
44	61
45	35
46	40
47	14
48	10
49	26
50	19
51	35
52	5
53	1
54	14
55	10
56	35
57	61
58	14
59	40
60	40
61	26
62	19
63	5
64	1
65	6
66	15
67	20
68	50
69	20
70	64
71	34
72	71
73	111

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	2
8	1
9	3
10	3
11	5
12	3
13	1
14	5
15	3
16	1
17	4
18	6
19	9
20	11
21	4
22	16
23	9
24	6
25	9
26	1
27	4
28	16
29	9
30	11
31	4
32	1
33	5
34	10
35	14
36	26
37	10
38	35
39	19
40	26
41	40
42	5
43	19
44	61
45	35
46	40
47	14
48	10
49	26
50	19
51	35
52	5
53	1
54	14
55	10
56	35
57	61
58	14
59	40
60	40
61	26
62	19
63	5
64	1
65	6
66	15
67	20
68	50
69	20
70	64
71	34
72	71
73	111