A301344 - cp's OEIS frontend

A301344 Regular triangle where T(n,k) is the number of semi-binary rooted trees with n nodes and k leaves.

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	1
14	0
15	0
16	1
17	6
18	4
19	0
20	0
21	0
22	1
23	9
24	11
25	2
26	0
27	0
28	0
29	1
30	12
31	24
32	9
33	0
34	0
35	0
36	0
37	1
38	16
39	46
40	32
41	3
42	0
43	0
44	0
45	0
46	1
47	20
48	80
49	86
50	20
51	0
52	0
53	0
54	0
55	0
56	1
57	25
58	130
59	203
60	86
61	6
62	0
63	0
64	0
65	0
66	0
67	1
68	30
69	200
70	423
71	283
72	46
73	0
74	0
75	0
76	0
77	0
78	0
79	1
80	36
81	295
82	816
83	786
84	234
85	11
86	0
87	0
88	0
89	0

[1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 4, 1, 0, 0, 1, 6, 4, 0, 0, 0, 1, 9, 11, 2, 0, 0, 0, 1, 12, 24, 9, 0, 0, 0, 0, 1, 16, 46, 32, 3, 0, 0, 0, 0, 1, 20, 80, 86, 20, 0, 0, 0, 0, 0, 1, 25, 130, 203, 86, 6, 0, 0, 0, 0, 0, 1, 30, 200, 423, 283, 46, 0, 0, 0, 0, 0, 0, 1, 36, 295, 816, 786, 234, 11, 0, 0, 0, 0]

cp's OEIS Frontend

A301344 Regular triangle where T(n,k) is the number of semi-binary rooted trees with n nodes and k leaves.

Table of values

List of values

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	1
14	0
15	0
16	1
17	6
18	4
19	0
20	0
21	0
22	1
23	9
24	11
25	2
26	0
27	0
28	0
29	1
30	12
31	24
32	9
33	0
34	0
35	0
36	0
37	1
38	16
39	46
40	32
41	3
42	0
43	0
44	0
45	0
46	1
47	20
48	80
49	86
50	20
51	0
52	0
53	0
54	0
55	0
56	1
57	25
58	130
59	203
60	86
61	6
62	0
63	0
64	0
65	0
66	0
67	1
68	30
69	200
70	423
71	283
72	46
73	0
74	0
75	0
76	0
77	0
78	0
79	1
80	36
81	295
82	816
83	786
84	234
85	11
86	0
87	0
88	0
89	0

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	1
14	0
15	0
16	1
17	6
18	4
19	0
20	0
21	0
22	1
23	9
24	11
25	2
26	0
27	0
28	0
29	1
30	12
31	24
32	9
33	0
34	0
35	0
36	0
37	1
38	16
39	46
40	32
41	3
42	0
43	0
44	0
45	0
46	1
47	20
48	80
49	86
50	20
51	0
52	0
53	0
54	0
55	0
56	1
57	25
58	130
59	203
60	86
61	6
62	0
63	0
64	0
65	0
66	0
67	1
68	30
69	200
70	423
71	283
72	46
73	0
74	0
75	0
76	0
77	0
78	0
79	1
80	36
81	295
82	816
83	786
84	234
85	11
86	0
87	0
88	0
89	0

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	1
14	0
15	0
16	1
17	6
18	4
19	0
20	0
21	0
22	1
23	9
24	11
25	2
26	0
27	0
28	0
29	1
30	12
31	24
32	9
33	0
34	0
35	0
36	0
37	1
38	16
39	46
40	32
41	3
42	0
43	0
44	0
45	0
46	1
47	20
48	80
49	86
50	20
51	0
52	0
53	0
54	0
55	0
56	1
57	25
58	130
59	203
60	86
61	6
62	0
63	0
64	0
65	0
66	0
67	1
68	30
69	200
70	423
71	283
72	46
73	0
74	0
75	0
76	0
77	0
78	0
79	1
80	36
81	295
82	816
83	786
84	234
85	11
86	0
87	0
88	0
89	0