A384893 - cp's OEIS frontend

A384893 Triangle read by rows where T(n,k) is the number of subsets of {1..n} with k maximal anti-runs (increasing by more than 1).

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	4
8	2
9	1
10	1
11	7
12	5
13	2
14	1
15	1
16	12
17	10
18	6
19	2
20	1
21	1
22	20
23	20
24	13
25	7
26	2
27	1
28	1
29	33
30	38
31	29
32	16
33	8
34	2
35	1
36	1
37	54
38	71
39	60
40	39
41	19
42	9
43	2
44	1
45	1
46	88
47	130
48	122
49	86
50	50
51	22
52	10
53	2
54	1
55	1
56	143
57	235
58	241
59	187
60	116
61	62
62	25
63	11
64	2
65	1
66	1
67	232
68	420
69	468
70	392
71	267
72	150
73	75
74	28
75	12
76	2
77	1

[1, 1, 1, 1, 2, 1, 1, 4, 2, 1, 1, 7, 5, 2, 1, 1, 12, 10, 6, 2, 1, 1, 20, 20, 13, 7, 2, 1, 1, 33, 38, 29, 16, 8, 2, 1, 1, 54, 71, 60, 39, 19, 9, 2, 1, 1, 88, 130, 122, 86, 50, 22, 10, 2, 1, 1, 143, 235, 241, 187, 116, 62, 25, 11, 2, 1, 1, 232, 420, 468, 392, 267, 150, 75, 28, 12, 2, 1]

cp's OEIS Frontend

A384893 Triangle read by rows where T(n,k) is the number of subsets of {1..n} with k maximal anti-runs (increasing by more than 1).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	4
8	2
9	1
10	1
11	7
12	5
13	2
14	1
15	1
16	12
17	10
18	6
19	2
20	1
21	1
22	20
23	20
24	13
25	7
26	2
27	1
28	1
29	33
30	38
31	29
32	16
33	8
34	2
35	1
36	1
37	54
38	71
39	60
40	39
41	19
42	9
43	2
44	1
45	1
46	88
47	130
48	122
49	86
50	50
51	22
52	10
53	2
54	1
55	1
56	143
57	235
58	241
59	187
60	116
61	62
62	25
63	11
64	2
65	1
66	1
67	232
68	420
69	468
70	392
71	267
72	150
73	75
74	28
75	12
76	2
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	4
8	2
9	1
10	1
11	7
12	5
13	2
14	1
15	1
16	12
17	10
18	6
19	2
20	1
21	1
22	20
23	20
24	13
25	7
26	2
27	1
28	1
29	33
30	38
31	29
32	16
33	8
34	2
35	1
36	1
37	54
38	71
39	60
40	39
41	19
42	9
43	2
44	1
45	1
46	88
47	130
48	122
49	86
50	50
51	22
52	10
53	2
54	1
55	1
56	143
57	235
58	241
59	187
60	116
61	62
62	25
63	11
64	2
65	1
66	1
67	232
68	420
69	468
70	392
71	267
72	150
73	75
74	28
75	12
76	2
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	4
8	2
9	1
10	1
11	7
12	5
13	2
14	1
15	1
16	12
17	10
18	6
19	2
20	1
21	1
22	20
23	20
24	13
25	7
26	2
27	1
28	1
29	33
30	38
31	29
32	16
33	8
34	2
35	1
36	1
37	54
38	71
39	60
40	39
41	19
42	9
43	2
44	1
45	1
46	88
47	130
48	122
49	86
50	50
51	22
52	10
53	2
54	1
55	1
56	143
57	235
58	241
59	187
60	116
61	62
62	25
63	11
64	2
65	1
66	1
67	232
68	420
69	468
70	392
71	267
72	150
73	75
74	28
75	12
76	2
77	1