A318753 - cp's OEIS frontend

A318753 Number A(n,k) of rooted trees with n nodes such that no more than k subtrees extending from the same node have the same number of nodes; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	0
1	0
2	1
3	0
4	1
5	0
6	0
7	1
8	1
9	0
10	0
11	1
12	1
13	1
14	0
15	0
16	1
17	1
18	2
19	2
20	0
21	0
22	1
23	1
24	2
25	3
26	3
27	0
28	0
29	1
30	1
31	2
32	4
33	7
34	6
35	0
36	0
37	1
38	1
39	2
40	4
41	8
42	15
43	12
44	0
45	0
46	1
47	1
48	2
49	4
50	9
51	18
52	34
53	25
54	0
55	0
56	1
57	1
58	2
59	4
60	9
61	19
62	43
63	79
64	51
65	0
66	0
67	1
68	1
69	2
70	4
71	9
72	20
73	46
74	102
75	190
76	111
77	0
78	0
79	1
80	1
81	2
82	4
83	9
84	20
85	47
86	110
87	250
88	457
89	240
90	0

[0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 3, 3, 0, 0, 1, 1, 2, 4, 7, 6, 0, 0, 1, 1, 2, 4, 8, 15, 12, 0, 0, 1, 1, 2, 4, 9, 18, 34, 25, 0, 0, 1, 1, 2, 4, 9, 19, 43, 79, 51, 0, 0, 1, 1, 2, 4, 9, 20, 46, 102, 190, 111, 0, 0, 1, 1, 2, 4, 9, 20, 47, 110, 250, 457, 240, 0]

cp's OEIS Frontend

A318753 Number A(n,k) of rooted trees with n nodes such that no more than k subtrees extending from the same node have the same number of nodes; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	0
4	1
5	0
6	0
7	1
8	1
9	0
10	0
11	1
12	1
13	1
14	0
15	0
16	1
17	1
18	2
19	2
20	0
21	0
22	1
23	1
24	2
25	3
26	3
27	0
28	0
29	1
30	1
31	2
32	4
33	7
34	6
35	0
36	0
37	1
38	1
39	2
40	4
41	8
42	15
43	12
44	0
45	0
46	1
47	1
48	2
49	4
50	9
51	18
52	34
53	25
54	0
55	0
56	1
57	1
58	2
59	4
60	9
61	19
62	43
63	79
64	51
65	0
66	0
67	1
68	1
69	2
70	4
71	9
72	20
73	46
74	102
75	190
76	111
77	0
78	0
79	1
80	1
81	2
82	4
83	9
84	20
85	47
86	110
87	250
88	457
89	240
90	0

n	a(n)
0	0
1	0
2	1
3	0
4	1
5	0
6	0
7	1
8	1
9	0
10	0
11	1
12	1
13	1
14	0
15	0
16	1
17	1
18	2
19	2
20	0
21	0
22	1
23	1
24	2
25	3
26	3
27	0
28	0
29	1
30	1
31	2
32	4
33	7
34	6
35	0
36	0
37	1
38	1
39	2
40	4
41	8
42	15
43	12
44	0
45	0
46	1
47	1
48	2
49	4
50	9
51	18
52	34
53	25
54	0
55	0
56	1
57	1
58	2
59	4
60	9
61	19
62	43
63	79
64	51
65	0
66	0
67	1
68	1
69	2
70	4
71	9
72	20
73	46
74	102
75	190
76	111
77	0
78	0
79	1
80	1
81	2
82	4
83	9
84	20
85	47
86	110
87	250
88	457
89	240
90	0

n	a(n)
0	0
1	0
2	1
3	0
4	1
5	0
6	0
7	1
8	1
9	0
10	0
11	1
12	1
13	1
14	0
15	0
16	1
17	1
18	2
19	2
20	0
21	0
22	1
23	1
24	2
25	3
26	3
27	0
28	0
29	1
30	1
31	2
32	4
33	7
34	6
35	0
36	0
37	1
38	1
39	2
40	4
41	8
42	15
43	12
44	0
45	0
46	1
47	1
48	2
49	4
50	9
51	18
52	34
53	25
54	0
55	0
56	1
57	1
58	2
59	4
60	9
61	19
62	43
63	79
64	51
65	0
66	0
67	1
68	1
69	2
70	4
71	9
72	20
73	46
74	102
75	190
76	111
77	0
78	0
79	1
80	1
81	2
82	4
83	9
84	20
85	47
86	110
87	250
88	457
89	240
90	0