A122085 - cp's OEIS frontend

A122085 Triangle read by rows: T(n,k) = number of unlabeled free bicolored trees with n nodes (n >= 1) and k (1 <= k <= n-1, except k=0 or 1 if n=1, k=1 if n=2) nodes of one color and n-k nodes of the other color (the colors are not interchangeable).

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	1
13	1
14	2
15	4
16	2
17	1
18	1
19	3
20	7
21	7
22	3
23	1
24	1
25	3
26	10
27	14
28	10
29	3
30	1
31	1
32	4
33	14
34	28
35	28
36	14
37	4
38	1
39	1
40	4
41	19
42	45
43	65
44	45
45	19
46	4
47	1
48	1
49	5
50	24
51	73
52	132
53	132
54	73
55	24
56	5
57	1
58	1
59	5
60	30
61	105
62	242
63	316
64	242
65	105
66	30
67	5
68	1
69	1
70	6
71	37
72	152
73	412
74	693
75	693
76	412
77	152

[1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 2, 1, 1, 3, 7, 7, 3, 1, 1, 3, 10, 14, 10, 3, 1, 1, 4, 14, 28, 28, 14, 4, 1, 1, 4, 19, 45, 65, 45, 19, 4, 1, 1, 5, 24, 73, 132, 132, 73, 24, 5, 1, 1, 5, 30, 105, 242, 316, 242, 105, 30, 5, 1, 1, 6, 37, 152, 412, 693, 693, 412, 152]

cp's OEIS Frontend

A122085 Triangle read by rows: T(n,k) = number of unlabeled free bicolored trees with n nodes (n >= 1) and k (1 <= k <= n-1, except k=0 or 1 if n=1, k=1 if n=2) nodes of one color and n-k nodes of the other color (the colors are not interchangeable).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	1
13	1
14	2
15	4
16	2
17	1
18	1
19	3
20	7
21	7
22	3
23	1
24	1
25	3
26	10
27	14
28	10
29	3
30	1
31	1
32	4
33	14
34	28
35	28
36	14
37	4
38	1
39	1
40	4
41	19
42	45
43	65
44	45
45	19
46	4
47	1
48	1
49	5
50	24
51	73
52	132
53	132
54	73
55	24
56	5
57	1
58	1
59	5
60	30
61	105
62	242
63	316
64	242
65	105
66	30
67	5
68	1
69	1
70	6
71	37
72	152
73	412
74	693
75	693
76	412
77	152

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	1
13	1
14	2
15	4
16	2
17	1
18	1
19	3
20	7
21	7
22	3
23	1
24	1
25	3
26	10
27	14
28	10
29	3
30	1
31	1
32	4
33	14
34	28
35	28
36	14
37	4
38	1
39	1
40	4
41	19
42	45
43	65
44	45
45	19
46	4
47	1
48	1
49	5
50	24
51	73
52	132
53	132
54	73
55	24
56	5
57	1
58	1
59	5
60	30
61	105
62	242
63	316
64	242
65	105
66	30
67	5
68	1
69	1
70	6
71	37
72	152
73	412
74	693
75	693
76	412
77	152

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	1
13	1
14	2
15	4
16	2
17	1
18	1
19	3
20	7
21	7
22	3
23	1
24	1
25	3
26	10
27	14
28	10
29	3
30	1
31	1
32	4
33	14
34	28
35	28
36	14
37	4
38	1
39	1
40	4
41	19
42	45
43	65
44	45
45	19
46	4
47	1
48	1
49	5
50	24
51	73
52	132
53	132
54	73
55	24
56	5
57	1
58	1
59	5
60	30
61	105
62	242
63	316
64	242
65	105
66	30
67	5
68	1
69	1
70	6
71	37
72	152
73	412
74	693
75	693
76	412
77	152