A319226 - cp's OEIS frontend

A319226 Irregular triangle where T(n,k) is the number of acyclic spanning subgraphs of a cycle graph, where the sizes of the connected components are given by the integer partition with Heinz number A215366(n,k).

n	a(n)
1	1
2	2
3	1
4	3
5	3
6	1
7	4
8	2
9	4
10	4
11	1
12	5
13	5
14	5
15	5
16	5
17	5
18	1
19	6
20	6
21	6
22	3
23	2
24	6
25	12
26	9
27	6
28	6
29	1
30	7
31	7
32	7
33	7
34	14
35	7
36	7
37	7
38	7
39	7
40	21
41	14
42	7
43	7
44	1
45	8
46	8
47	8
48	4
49	8
50	8
51	8
52	16
53	16
54	8
55	2
56	24
57	8
58	24
59	12
60	16
61	8
62	32
63	20
64	8
65	8
66	1
67	9
68	9
69	9
70	9
71	9
72	9
73	18
74	9
75	9
76	9
77	18
78	18
79	3
80	27
81	27

[1, 2, 1, 3, 3, 1, 4, 2, 4, 4, 1, 5, 5, 5, 5, 5, 5, 1, 6, 6, 6, 3, 2, 6, 12, 9, 6, 6, 1, 7, 7, 7, 7, 14, 7, 7, 7, 7, 7, 21, 14, 7, 7, 1, 8, 8, 8, 4, 8, 8, 8, 16, 16, 8, 2, 24, 8, 24, 12, 16, 8, 32, 20, 8, 8, 1, 9, 9, 9, 9, 9, 9, 18, 9, 9, 9, 18, 18, 3, 27, 27]

cp's OEIS Frontend

A319226 Irregular triangle where T(n,k) is the number of acyclic spanning subgraphs of a cycle graph, where the sizes of the connected components are given by the integer partition with Heinz number A215366(n,k).

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	3
5	3
6	1
7	4
8	2
9	4
10	4
11	1
12	5
13	5
14	5
15	5
16	5
17	5
18	1
19	6
20	6
21	6
22	3
23	2
24	6
25	12
26	9
27	6
28	6
29	1
30	7
31	7
32	7
33	7
34	14
35	7
36	7
37	7
38	7
39	7
40	21
41	14
42	7
43	7
44	1
45	8
46	8
47	8
48	4
49	8
50	8
51	8
52	16
53	16
54	8
55	2
56	24
57	8
58	24
59	12
60	16
61	8
62	32
63	20
64	8
65	8
66	1
67	9
68	9
69	9
70	9
71	9
72	9
73	18
74	9
75	9
76	9
77	18
78	18
79	3
80	27
81	27

n	a(n)
1	1
2	2
3	1
4	3
5	3
6	1
7	4
8	2
9	4
10	4
11	1
12	5
13	5
14	5
15	5
16	5
17	5
18	1
19	6
20	6
21	6
22	3
23	2
24	6
25	12
26	9
27	6
28	6
29	1
30	7
31	7
32	7
33	7
34	14
35	7
36	7
37	7
38	7
39	7
40	21
41	14
42	7
43	7
44	1
45	8
46	8
47	8
48	4
49	8
50	8
51	8
52	16
53	16
54	8
55	2
56	24
57	8
58	24
59	12
60	16
61	8
62	32
63	20
64	8
65	8
66	1
67	9
68	9
69	9
70	9
71	9
72	9
73	18
74	9
75	9
76	9
77	18
78	18
79	3
80	27
81	27

n	a(n)
1	1
2	2
3	1
4	3
5	3
6	1
7	4
8	2
9	4
10	4
11	1
12	5
13	5
14	5
15	5
16	5
17	5
18	1
19	6
20	6
21	6
22	3
23	2
24	6
25	12
26	9
27	6
28	6
29	1
30	7
31	7
32	7
33	7
34	14
35	7
36	7
37	7
38	7
39	7
40	21
41	14
42	7
43	7
44	1
45	8
46	8
47	8
48	4
49	8
50	8
51	8
52	16
53	16
54	8
55	2
56	24
57	8
58	24
59	12
60	16
61	8
62	32
63	20
64	8
65	8
66	1
67	9
68	9
69	9
70	9
71	9
72	9
73	18
74	9
75	9
76	9
77	18
78	18
79	3
80	27
81	27