A240168 - cp's OEIS frontend

A240168 T(n,k) is the number of unlabeled graphs of n vertices and k edges that have endpoints, where an endpoint is a vertex with degree 1.

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	2
11	3
12	5
13	4
14	2
15	1
16	1
17	2
18	4
19	8
20	13
21	15
22	16
23	11
24	5
25	2
26	1
27	1
28	2
29	4
30	9
31	19
32	35
33	55
34	75
35	83
36	72
37	51
38	29
39	13
40	5
41	2
42	1
43	1
44	2
45	4
46	10
47	22
48	50
49	105
50	196
51	338
52	511
53	649
54	695
55	627
56	473
57	304
58	172
59	83
60	35
61	14
62	5
63	2
64	1

[0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 5, 4, 2, 1, 1, 2, 4, 8, 13, 15, 16, 11, 5, 2, 1, 1, 2, 4, 9, 19, 35, 55, 75, 83, 72, 51, 29, 13, 5, 2, 1, 1, 2, 4, 10, 22, 50, 105, 196, 338, 511, 649, 695, 627, 473, 304, 172, 83, 35, 14, 5, 2, 1]

cp's OEIS Frontend

A240168 T(n,k) is the number of unlabeled graphs of n vertices and k edges that have endpoints, where an endpoint is a vertex with degree 1.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	2
11	3
12	5
13	4
14	2
15	1
16	1
17	2
18	4
19	8
20	13
21	15
22	16
23	11
24	5
25	2
26	1
27	1
28	2
29	4
30	9
31	19
32	35
33	55
34	75
35	83
36	72
37	51
38	29
39	13
40	5
41	2
42	1
43	1
44	2
45	4
46	10
47	22
48	50
49	105
50	196
51	338
52	511
53	649
54	695
55	627
56	473
57	304
58	172
59	83
60	35
61	14
62	5
63	2
64	1

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	2
11	3
12	5
13	4
14	2
15	1
16	1
17	2
18	4
19	8
20	13
21	15
22	16
23	11
24	5
25	2
26	1
27	1
28	2
29	4
30	9
31	19
32	35
33	55
34	75
35	83
36	72
37	51
38	29
39	13
40	5
41	2
42	1
43	1
44	2
45	4
46	10
47	22
48	50
49	105
50	196
51	338
52	511
53	649
54	695
55	627
56	473
57	304
58	172
59	83
60	35
61	14
62	5
63	2
64	1

n	a(n)
1	0
2	1
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	2
11	3
12	5
13	4
14	2
15	1
16	1
17	2
18	4
19	8
20	13
21	15
22	16
23	11
24	5
25	2
26	1
27	1
28	2
29	4
30	9
31	19
32	35
33	55
34	75
35	83
36	72
37	51
38	29
39	13
40	5
41	2
42	1
43	1
44	2
45	4
46	10
47	22
48	50
49	105
50	196
51	338
52	511
53	649
54	695
55	627
56	473
57	304
58	172
59	83
60	35
61	14
62	5
63	2
64	1