A360334 - cp's OEIS frontend

A360334 Array read by antidiagonals downwards: A(n,m) = number of set partitions of [3n] into 3-element subsets {i, i+k, i+2k} with 1 <= k <= m.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	2
13	4
14	5
15	1
16	1
17	2
18	5
19	7
20	8
21	1
22	1
23	2
24	5
25	12
26	13
27	13
28	1
29	1
30	2
31	5
32	15
33	25
34	24
35	21
36	1
37	1
38	2
39	5
40	15
41	35
42	56
43	44
44	34
45	1
46	1
47	2
48	5
49	15
50	46
51	84
52	126
53	81
54	55
55	1
56	1
57	2
58	5
59	15
60	55
61	129
62	211
63	281
64	149
65	89
66	1
67	1
68	2
69	5
70	15
71	55
72	185
73	346
74	537
75	625
76	274
77	144
78	1

[1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 4, 5, 1, 1, 2, 5, 7, 8, 1, 1, 2, 5, 12, 13, 13, 1, 1, 2, 5, 15, 25, 24, 21, 1, 1, 2, 5, 15, 35, 56, 44, 34, 1, 1, 2, 5, 15, 46, 84, 126, 81, 55, 1, 1, 2, 5, 15, 55, 129, 211, 281, 149, 89, 1, 1, 2, 5, 15, 55, 185, 346, 537, 625, 274, 144, 1]

cp's OEIS Frontend

A360334 Array read by antidiagonals downwards: A(n,m) = number of set partitions of [3n] into 3-element subsets {i, i+k, i+2k} with 1 <= k <= m.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	2
13	4
14	5
15	1
16	1
17	2
18	5
19	7
20	8
21	1
22	1
23	2
24	5
25	12
26	13
27	13
28	1
29	1
30	2
31	5
32	15
33	25
34	24
35	21
36	1
37	1
38	2
39	5
40	15
41	35
42	56
43	44
44	34
45	1
46	1
47	2
48	5
49	15
50	46
51	84
52	126
53	81
54	55
55	1
56	1
57	2
58	5
59	15
60	55
61	129
62	211
63	281
64	149
65	89
66	1
67	1
68	2
69	5
70	15
71	55
72	185
73	346
74	537
75	625
76	274
77	144
78	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	2
13	4
14	5
15	1
16	1
17	2
18	5
19	7
20	8
21	1
22	1
23	2
24	5
25	12
26	13
27	13
28	1
29	1
30	2
31	5
32	15
33	25
34	24
35	21
36	1
37	1
38	2
39	5
40	15
41	35
42	56
43	44
44	34
45	1
46	1
47	2
48	5
49	15
50	46
51	84
52	126
53	81
54	55
55	1
56	1
57	2
58	5
59	15
60	55
61	129
62	211
63	281
64	149
65	89
66	1
67	1
68	2
69	5
70	15
71	55
72	185
73	346
74	537
75	625
76	274
77	144
78	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	2
13	4
14	5
15	1
16	1
17	2
18	5
19	7
20	8
21	1
22	1
23	2
24	5
25	12
26	13
27	13
28	1
29	1
30	2
31	5
32	15
33	25
34	24
35	21
36	1
37	1
38	2
39	5
40	15
41	35
42	56
43	44
44	34
45	1
46	1
47	2
48	5
49	15
50	46
51	84
52	126
53	81
54	55
55	1
56	1
57	2
58	5
59	15
60	55
61	129
62	211
63	281
64	149
65	89
66	1
67	1
68	2
69	5
70	15
71	55
72	185
73	346
74	537
75	625
76	274
77	144
78	1