A288942 - cp's OEIS frontend

A288942 Number A(n,k) of ordered rooted trees with n non-root nodes and all outdegrees <= k; square array A(n,k), n >= 0, k >= 0, read by antidiagonals.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	4
19	1
20	0
21	1
22	1
23	2
24	5
25	9
26	1
27	0
28	1
29	1
30	2
31	5
32	13
33	21
34	1
35	0
36	1
37	1
38	2
39	5
40	14
41	36
42	51
43	1
44	0
45	1
46	1
47	2
48	5
49	14
50	41
51	104
52	127
53	1
54	0
55	1
56	1
57	2
58	5
59	14
60	42
61	125
62	309
63	323
64	1
65	0
66	1
67	1
68	2
69	5
70	14
71	42
72	131
73	393
74	939
75	835
76	1
77	0

[1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 4, 1, 0, 1, 1, 2, 5, 9, 1, 0, 1, 1, 2, 5, 13, 21, 1, 0, 1, 1, 2, 5, 14, 36, 51, 1, 0, 1, 1, 2, 5, 14, 41, 104, 127, 1, 0, 1, 1, 2, 5, 14, 42, 125, 309, 323, 1, 0, 1, 1, 2, 5, 14, 42, 131, 393, 939, 835, 1, 0]

cp's OEIS Frontend

A288942 Number A(n,k) of ordered rooted trees with n non-root nodes and all outdegrees <= k; square array A(n,k), n >= 0, k >= 0, read by antidiagonals.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	4
19	1
20	0
21	1
22	1
23	2
24	5
25	9
26	1
27	0
28	1
29	1
30	2
31	5
32	13
33	21
34	1
35	0
36	1
37	1
38	2
39	5
40	14
41	36
42	51
43	1
44	0
45	1
46	1
47	2
48	5
49	14
50	41
51	104
52	127
53	1
54	0
55	1
56	1
57	2
58	5
59	14
60	42
61	125
62	309
63	323
64	1
65	0
66	1
67	1
68	2
69	5
70	14
71	42
72	131
73	393
74	939
75	835
76	1
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	4
19	1
20	0
21	1
22	1
23	2
24	5
25	9
26	1
27	0
28	1
29	1
30	2
31	5
32	13
33	21
34	1
35	0
36	1
37	1
38	2
39	5
40	14
41	36
42	51
43	1
44	0
45	1
46	1
47	2
48	5
49	14
50	41
51	104
52	127
53	1
54	0
55	1
56	1
57	2
58	5
59	14
60	42
61	125
62	309
63	323
64	1
65	0
66	1
67	1
68	2
69	5
70	14
71	42
72	131
73	393
74	939
75	835
76	1
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	1
14	0
15	1
16	1
17	2
18	4
19	1
20	0
21	1
22	1
23	2
24	5
25	9
26	1
27	0
28	1
29	1
30	2
31	5
32	13
33	21
34	1
35	0
36	1
37	1
38	2
39	5
40	14
41	36
42	51
43	1
44	0
45	1
46	1
47	2
48	5
49	14
50	41
51	104
52	127
53	1
54	0
55	1
56	1
57	2
58	5
59	14
60	42
61	125
62	309
63	323
64	1
65	0
66	1
67	1
68	2
69	5
70	14
71	42
72	131
73	393
74	939
75	835
76	1
77	0