A385814 - cp's OEIS frontend

A385814 Triangle read by rows where T(n,k) is the number of integer partitions of n with k maximal proper anti-runs (sequences decreasing by more than 1).

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

[1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 3, 2, 3, 1, 1, 1, 0, 3, 4, 2, 3, 1, 1, 1, 0, 4, 5, 4, 3, 3, 1, 1, 1, 0, 5, 5, 6, 5, 3, 3, 1, 1, 1, 0, 6, 8, 7, 6, 6, 3, 3, 1, 1, 1, 0, 7, 9, 10, 8, 7, 6, 3, 3, 1, 1, 1]

cp's OEIS Frontend

A385814 Triangle read by rows where T(n,k) is the number of integer partitions of n with k maximal proper anti-runs (sequences decreasing by more than 1).

Table of values

List of values

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

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

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