A380633 - cp's OEIS frontend

A380633 Triangle read by rows: T(n,k) is the number of simple connected graphs on n unlabeled nodes of degree at most 3 with k cycles and each node a member of exactly one cycle, 0 <= k <= floor(n/3).

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	1
9	0
10	1
11	1
12	0
13	1
14	1
15	0
16	1
17	2
18	0
19	1
20	2
21	1
22	0
23	1
24	3
25	3
26	0
27	1
28	3
29	6
30	0
31	1
32	4
33	11
34	2
35	0
36	1
37	4
38	17
39	5
40	0
41	1
42	5
43	26
44	17
45	0
46	1
47	5
48	36
49	37
50	2
51	0
52	1
53	6
54	50
55	78
56	12
57	0
58	1
59	6
60	65
61	140
62	44
63	0
64	1
65	7
66	85
67	248
68	131
69	4
70	0
71	1
72	7
73	106
74	396
75	325
76	23

[1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 3, 3, 0, 1, 3, 6, 0, 1, 4, 11, 2, 0, 1, 4, 17, 5, 0, 1, 5, 26, 17, 0, 1, 5, 36, 37, 2, 0, 1, 6, 50, 78, 12, 0, 1, 6, 65, 140, 44, 0, 1, 7, 85, 248, 131, 4, 0, 1, 7, 106, 396, 325, 23]

cp's OEIS Frontend

A380633 Triangle read by rows: T(n,k) is the number of simple connected graphs on n unlabeled nodes of degree at most 3 with k cycles and each node a member of exactly one cycle, 0 <= k <= floor(n/3).

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	1
9	0
10	1
11	1
12	0
13	1
14	1
15	0
16	1
17	2
18	0
19	1
20	2
21	1
22	0
23	1
24	3
25	3
26	0
27	1
28	3
29	6
30	0
31	1
32	4
33	11
34	2
35	0
36	1
37	4
38	17
39	5
40	0
41	1
42	5
43	26
44	17
45	0
46	1
47	5
48	36
49	37
50	2
51	0
52	1
53	6
54	50
55	78
56	12
57	0
58	1
59	6
60	65
61	140
62	44
63	0
64	1
65	7
66	85
67	248
68	131
69	4
70	0
71	1
72	7
73	106
74	396
75	325
76	23

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	1
9	0
10	1
11	1
12	0
13	1
14	1
15	0
16	1
17	2
18	0
19	1
20	2
21	1
22	0
23	1
24	3
25	3
26	0
27	1
28	3
29	6
30	0
31	1
32	4
33	11
34	2
35	0
36	1
37	4
38	17
39	5
40	0
41	1
42	5
43	26
44	17
45	0
46	1
47	5
48	36
49	37
50	2
51	0
52	1
53	6
54	50
55	78
56	12
57	0
58	1
59	6
60	65
61	140
62	44
63	0
64	1
65	7
66	85
67	248
68	131
69	4
70	0
71	1
72	7
73	106
74	396
75	325
76	23

n	a(n)
0	1
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	1
9	0
10	1
11	1
12	0
13	1
14	1
15	0
16	1
17	2
18	0
19	1
20	2
21	1
22	0
23	1
24	3
25	3
26	0
27	1
28	3
29	6
30	0
31	1
32	4
33	11
34	2
35	0
36	1
37	4
38	17
39	5
40	0
41	1
42	5
43	26
44	17
45	0
46	1
47	5
48	36
49	37
50	2
51	0
52	1
53	6
54	50
55	78
56	12
57	0
58	1
59	6
60	65
61	140
62	44
63	0
64	1
65	7
66	85
67	248
68	131
69	4
70	0
71	1
72	7
73	106
74	396
75	325
76	23