A358575 - cp's OEIS frontend

A358575 Triangle read by rows where T(n,k) is the number of unlabeled n-node rooted trees with k = 0..n-1 internal (non-leaf) nodes.

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	2
10	1
11	0
12	1
13	3
14	4
15	1
16	0
17	1
18	4
19	8
20	6
21	1
22	0
23	1
24	5
25	14
26	18
27	9
28	1
29	0
30	1
31	6
32	21
33	39
34	35
35	12
36	1
37	0
38	1
39	7
40	30
41	72
42	97
43	62
44	16
45	1
46	0
47	1
48	8
49	40
50	120
51	214
52	212
53	103
54	20
55	1
56	0
57	1
58	9
59	52
60	185
61	416
62	563
63	429
64	161
65	25
66	1

[1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 4, 1, 0, 1, 4, 8, 6, 1, 0, 1, 5, 14, 18, 9, 1, 0, 1, 6, 21, 39, 35, 12, 1, 0, 1, 7, 30, 72, 97, 62, 16, 1, 0, 1, 8, 40, 120, 214, 212, 103, 20, 1, 0, 1, 9, 52, 185, 416, 563, 429, 161, 25, 1]

cp's OEIS Frontend

A358575 Triangle read by rows where T(n,k) is the number of unlabeled n-node rooted trees with k = 0..n-1 internal (non-leaf) nodes.

Table of values

List of values

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	2
10	1
11	0
12	1
13	3
14	4
15	1
16	0
17	1
18	4
19	8
20	6
21	1
22	0
23	1
24	5
25	14
26	18
27	9
28	1
29	0
30	1
31	6
32	21
33	39
34	35
35	12
36	1
37	0
38	1
39	7
40	30
41	72
42	97
43	62
44	16
45	1
46	0
47	1
48	8
49	40
50	120
51	214
52	212
53	103
54	20
55	1
56	0
57	1
58	9
59	52
60	185
61	416
62	563
63	429
64	161
65	25
66	1

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	2
10	1
11	0
12	1
13	3
14	4
15	1
16	0
17	1
18	4
19	8
20	6
21	1
22	0
23	1
24	5
25	14
26	18
27	9
28	1
29	0
30	1
31	6
32	21
33	39
34	35
35	12
36	1
37	0
38	1
39	7
40	30
41	72
42	97
43	62
44	16
45	1
46	0
47	1
48	8
49	40
50	120
51	214
52	212
53	103
54	20
55	1
56	0
57	1
58	9
59	52
60	185
61	416
62	563
63	429
64	161
65	25
66	1

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	2
10	1
11	0
12	1
13	3
14	4
15	1
16	0
17	1
18	4
19	8
20	6
21	1
22	0
23	1
24	5
25	14
26	18
27	9
28	1
29	0
30	1
31	6
32	21
33	39
34	35
35	12
36	1
37	0
38	1
39	7
40	30
41	72
42	97
43	62
44	16
45	1
46	0
47	1
48	8
49	40
50	120
51	214
52	212
53	103
54	20
55	1
56	0
57	1
58	9
59	52
60	185
61	416
62	563
63	429
64	161
65	25
66	1