A335833 - cp's OEIS frontend

A335833 Triangle read by rows. T(n,k) is the number of full binary trees with n leaves and with k internal nodes whose left and right children have the same number of leaf descendants, where n > 0 and 0 <= k < n.

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	3
27	0
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	14
41	13
42	8
43	1
44	1
45	0
46	0
47	1
48	12
49	27
50	28
51	23
52	8
53	3
54	1
55	0
56	0
57	1
58	16
59	49
60	58
61	54
62	25
63	8
64	3
65	0
66	0
67	0
68	1
69	20
70	82
71	119
72	125
73	82
74	34
75	15
76	2
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, 3, 0, 0, 0, 1, 6, 7, 6, 3, 0, 1, 0, 1, 9, 14, 13, 8, 1, 1, 0, 0, 1, 12, 27, 28, 23, 8, 3, 1, 0, 0, 1, 16, 49, 58, 54, 25, 8, 3, 0, 0, 0, 1, 20, 82, 119, 125, 82, 34, 15, 2, 1, 0]

cp's OEIS Frontend

A335833 Triangle read by rows. T(n,k) is the number of full binary trees with n leaves and with k internal nodes whose left and right children have the same number of leaf descendants, where n > 0 and 0 <= k < n.

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	3
27	0
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	14
41	13
42	8
43	1
44	1
45	0
46	0
47	1
48	12
49	27
50	28
51	23
52	8
53	3
54	1
55	0
56	0
57	1
58	16
59	49
60	58
61	54
62	25
63	8
64	3
65	0
66	0
67	0
68	1
69	20
70	82
71	119
72	125
73	82
74	34
75	15
76	2
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	3
27	0
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	14
41	13
42	8
43	1
44	1
45	0
46	0
47	1
48	12
49	27
50	28
51	23
52	8
53	3
54	1
55	0
56	0
57	1
58	16
59	49
60	58
61	54
62	25
63	8
64	3
65	0
66	0
67	0
68	1
69	20
70	82
71	119
72	125
73	82
74	34
75	15
76	2
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	3
27	0
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	14
41	13
42	8
43	1
44	1
45	0
46	0
47	1
48	12
49	27
50	28
51	23
52	8
53	3
54	1
55	0
56	0
57	1
58	16
59	49
60	58
61	54
62	25
63	8
64	3
65	0
66	0
67	0
68	1
69	20
70	82
71	119
72	125
73	82
74	34
75	15
76	2
77	1
78	0