A360985 - cp's OEIS frontend

A360985 Triangle read by rows: T(n,k) is the number of full binary trees with n leaves, each internal node having the heights of its two subtrees weakly increasing left to right, and with k internal nodes having two subtrees of equal height.

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	0
7	0
8	1
9	0
10	1
11	0
12	1
13	1
14	1
15	0
16	0
17	1
18	2
19	2
20	1
21	0
22	0
23	1
24	4
25	3
26	2
27	2
28	0
29	0
30	1
31	6
32	7
33	6
34	3
35	0
36	1
37	0
38	1
39	9
40	13
41	14
42	9
43	3
44	1
45	0
46	0
47	1
48	12
49	27
50	27
51	22
52	14
53	3
54	1
55	0
56	0
57	1
58	16
59	47
60	59
61	54
62	32
63	16
64	7
65	0
66	0
67	0
68	1
69	20
70	81
71	117
72	125
73	91
74	44
75	20
76	8
77	1
78	0

[1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 4, 3, 2, 2, 0, 0, 1, 6, 7, 6, 3, 0, 1, 0, 1, 9, 13, 14, 9, 3, 1, 0, 0, 1, 12, 27, 27, 22, 14, 3, 1, 0, 0, 1, 16, 47, 59, 54, 32, 16, 7, 0, 0, 0, 1, 20, 81, 117, 125, 91, 44, 20, 8, 1, 0]

cp's OEIS Frontend

A360985 Triangle read by rows: T(n,k) is the number of full binary trees with n leaves, each internal node having the heights of its two subtrees weakly increasing left to right, and with k internal nodes having two subtrees of equal height.

Table of values

List of values

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	0
7	0
8	1
9	0
10	1
11	0
12	1
13	1
14	1
15	0
16	0
17	1
18	2
19	2
20	1
21	0
22	0
23	1
24	4
25	3
26	2
27	2
28	0
29	0
30	1
31	6
32	7
33	6
34	3
35	0
36	1
37	0
38	1
39	9
40	13
41	14
42	9
43	3
44	1
45	0
46	0
47	1
48	12
49	27
50	27
51	22
52	14
53	3
54	1
55	0
56	0
57	1
58	16
59	47
60	59
61	54
62	32
63	16
64	7
65	0
66	0
67	0
68	1
69	20
70	81
71	117
72	125
73	91
74	44
75	20
76	8
77	1
78	0

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	0
7	0
8	1
9	0
10	1
11	0
12	1
13	1
14	1
15	0
16	0
17	1
18	2
19	2
20	1
21	0
22	0
23	1
24	4
25	3
26	2
27	2
28	0
29	0
30	1
31	6
32	7
33	6
34	3
35	0
36	1
37	0
38	1
39	9
40	13
41	14
42	9
43	3
44	1
45	0
46	0
47	1
48	12
49	27
50	27
51	22
52	14
53	3
54	1
55	0
56	0
57	1
58	16
59	47
60	59
61	54
62	32
63	16
64	7
65	0
66	0
67	0
68	1
69	20
70	81
71	117
72	125
73	91
74	44
75	20
76	8
77	1
78	0

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	0
7	0
8	1
9	0
10	1
11	0
12	1
13	1
14	1
15	0
16	0
17	1
18	2
19	2
20	1
21	0
22	0
23	1
24	4
25	3
26	2
27	2
28	0
29	0
30	1
31	6
32	7
33	6
34	3
35	0
36	1
37	0
38	1
39	9
40	13
41	14
42	9
43	3
44	1
45	0
46	0
47	1
48	12
49	27
50	27
51	22
52	14
53	3
54	1
55	0
56	0
57	1
58	16
59	47
60	59
61	54
62	32
63	16
64	7
65	0
66	0
67	0
68	1
69	20
70	81
71	117
72	125
73	91
74	44
75	20
76	8
77	1
78	0