A214569 - cp's OEIS frontend

A214569 Irregular triangle read by rows: T(n,k) is the number of rooted trees having n vertices and isomorphic (as rooted trees) to k ordered trees (n>=1, k>=1).

n	a(n)
1	1
2	1
3	2
4	3
5	1
6	5
7	3
8	1
9	6
10	8
11	4
12	2
13	10
14	17
15	7
16	8
17	1
18	5
19	11
20	34
21	16
22	25
23	3
24	18
25	0
26	3
27	1
28	1
29	0
30	3
31	16
32	63
33	27
34	65
35	6
36	56
37	1
38	16
39	5
40	4
41	0
42	22
43	0
44	0
45	1
46	0
47	0
48	1
49	0
50	2
51	0
52	0
53	0
54	1
55	19
56	111
57	47
58	154
59	12
60	138
61	3
62	65
63	13
64	13
65	0
66	95
67	0
68	0
69	3
70	5
71	0
72	13
73	0
74	8
75	1
76	0
77	0
78	13
79	0
80	0
81	0
82	0
83	0
84	4
85	0
86	0
87	0
88	0
89	0
90	1
91	0
92	0
93	0
94	1
95	26
96	186
97	73
98	348
99	18
100	319
101	6
102	208
103	35
104	32
105	0
106	308
107	0
108	2
109	13
110	34
111	0
112	58
113	0
114	29
115	1
116	0
117	0
118	88
119	0
120	0
121	1
122	1
123	0
124	16
125	0
126	0
127	0
128	0
129	1
130	18
131	0
132	0
133	0
134	8
135	0
136	2
137	0
138	0
139	0
140	0
141	0
142	5
143	0
144	0
145	0
146	0
147	0
148	0
149	0
150	0
151	0
152	0
153	0
154	6

[1, 1, 2, 3, 1, 5, 3, 1, 6, 8, 4, 2, 10, 17, 7, 8, 1, 5, 11, 34, 16, 25, 3, 18, 0, 3, 1, 1, 0, 3, 16, 63, 27, 65, 6, 56, 1, 16, 5, 4, 0, 22, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 19, 111, 47, 154, 12, 138, 3, 65, 13, 13, 0, 95, 0, 0, 3, 5, 0, 13, 0, 8, 1, 0, 0, 13, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 26, 186, 73, 348, 18, 319, 6, 208, 35, 32, 0, 308, 0, 2, 13, 34, 0, 58, 0, 29, 1, 0, 0, 88, 0, 0, 1, 1, 0, 16, 0, 0, 0, 0, 1, 18, 0, 0, 0, 8, 0, 2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6]

cp's OEIS Frontend

A214569 Irregular triangle read by rows: T(n,k) is the number of rooted trees having n vertices and isomorphic (as rooted trees) to k ordered trees (n>=1, k>=1).

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	3
5	1
6	5
7	3
8	1
9	6
10	8
11	4
12	2
13	10
14	17
15	7
16	8
17	1
18	5
19	11
20	34
21	16
22	25
23	3
24	18
25	0
26	3
27	1
28	1
29	0
30	3
31	16
32	63
33	27
34	65
35	6
36	56
37	1
38	16
39	5
40	4
41	0
42	22
43	0
44	0
45	1
46	0
47	0
48	1
49	0
50	2
51	0
52	0
53	0
54	1
55	19
56	111
57	47
58	154
59	12
60	138
61	3
62	65
63	13
64	13
65	0
66	95
67	0
68	0
69	3
70	5
71	0
72	13
73	0
74	8
75	1
76	0
77	0
78	13
79	0
80	0
81	0
82	0
83	0
84	4
85	0
86	0
87	0
88	0
89	0
90	1
91	0
92	0
93	0
94	1
95	26
96	186
97	73
98	348
99	18
100	319
101	6
102	208
103	35
104	32
105	0
106	308
107	0
108	2
109	13
110	34
111	0
112	58
113	0
114	29
115	1
116	0
117	0
118	88
119	0
120	0
121	1
122	1
123	0
124	16
125	0
126	0
127	0
128	0
129	1
130	18
131	0
132	0
133	0
134	8
135	0
136	2
137	0
138	0
139	0
140	0
141	0
142	5
143	0
144	0
145	0
146	0
147	0
148	0
149	0
150	0
151	0
152	0
153	0
154	6

n	a(n)
1	1
2	1
3	2
4	3
5	1
6	5
7	3
8	1
9	6
10	8
11	4
12	2
13	10
14	17
15	7
16	8
17	1
18	5
19	11
20	34
21	16
22	25
23	3
24	18
25	0
26	3
27	1
28	1
29	0
30	3
31	16
32	63
33	27
34	65
35	6
36	56
37	1
38	16
39	5
40	4
41	0
42	22
43	0
44	0
45	1
46	0
47	0
48	1
49	0
50	2
51	0
52	0
53	0
54	1
55	19
56	111
57	47
58	154
59	12
60	138
61	3
62	65
63	13
64	13
65	0
66	95
67	0
68	0
69	3
70	5
71	0
72	13
73	0
74	8
75	1
76	0
77	0
78	13
79	0
80	0
81	0
82	0
83	0
84	4
85	0
86	0
87	0
88	0
89	0
90	1
91	0
92	0
93	0
94	1
95	26
96	186
97	73
98	348
99	18
100	319
101	6
102	208
103	35
104	32
105	0
106	308
107	0
108	2
109	13
110	34
111	0
112	58
113	0
114	29
115	1
116	0
117	0
118	88
119	0
120	0
121	1
122	1
123	0
124	16
125	0
126	0
127	0
128	0
129	1
130	18
131	0
132	0
133	0
134	8
135	0
136	2
137	0
138	0
139	0
140	0
141	0
142	5
143	0
144	0
145	0
146	0
147	0
148	0
149	0
150	0
151	0
152	0
153	0
154	6

n	a(n)
1	1
2	1
3	2
4	3
5	1
6	5
7	3
8	1
9	6
10	8
11	4
12	2
13	10
14	17
15	7
16	8
17	1
18	5
19	11
20	34
21	16
22	25
23	3
24	18
25	0
26	3
27	1
28	1
29	0
30	3
31	16
32	63
33	27
34	65
35	6
36	56
37	1
38	16
39	5
40	4
41	0
42	22
43	0
44	0
45	1
46	0
47	0
48	1
49	0
50	2
51	0
52	0
53	0
54	1
55	19
56	111
57	47
58	154
59	12
60	138
61	3
62	65
63	13
64	13
65	0
66	95
67	0
68	0
69	3
70	5
71	0
72	13
73	0
74	8
75	1
76	0
77	0
78	13
79	0
80	0
81	0
82	0
83	0
84	4
85	0
86	0
87	0
88	0
89	0
90	1
91	0
92	0
93	0
94	1
95	26
96	186
97	73
98	348
99	18
100	319
101	6
102	208
103	35
104	32
105	0
106	308
107	0
108	2
109	13
110	34
111	0
112	58
113	0
114	29
115	1
116	0
117	0
118	88
119	0
120	0
121	1
122	1
123	0
124	16
125	0
126	0
127	0
128	0
129	1
130	18
131	0
132	0
133	0
134	8
135	0
136	2
137	0
138	0
139	0
140	0
141	0
142	5
143	0
144	0
145	0
146	0
147	0
148	0
149	0
150	0
151	0
152	0
153	0
154	6