A138157 - cp's OEIS frontend

A138157 Triangle read by rows: T(n,k) is the number of binary trees with n edges and path length k; 0<=k<=n*(n+1)/2.

n	a(n)
0	1
1	0
2	2
3	0
4	0
5	1
6	4
7	0
8	0
9	0
10	0
11	4
12	2
13	8
14	0
15	0
16	0
17	0
18	0
19	0
20	6
21	8
22	8
23	4
24	16
25	0
26	0
27	0
28	0
29	0
30	0
31	0
32	0
33	4
34	24
35	4
36	28
37	16
38	16
39	8
40	32
41	0
42	0
43	0
44	0
45	0
46	0
47	0
48	0
49	0
50	0
51	1
52	24
53	36
54	48
55	24
56	56
57	40
58	56
59	32
60	32
61	16
62	64
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	0
72	0
73	0
74	0
75	0
76	8
77	60
78	72
79	144
80	26
81	168
82	104
83	128
84	64
85	176
86	80
87	112

[1, 0, 2, 0, 0, 1, 4, 0, 0, 0, 0, 4, 2, 8, 0, 0, 0, 0, 0, 0, 6, 8, 8, 4, 16, 0, 0, 0, 0, 0, 0, 0, 0, 4, 24, 4, 28, 16, 16, 8, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 24, 36, 48, 24, 56, 40, 56, 32, 32, 16, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 60, 72, 144, 26, 168, 104, 128, 64, 176, 80, 112]

cp's OEIS Frontend

A138157 Triangle read by rows: T(n,k) is the number of binary trees with n edges and path length k; 0<=k<=n*(n+1)/2.

Table of values

List of values

n	a(n)
0	1
1	0
2	2
3	0
4	0
5	1
6	4
7	0
8	0
9	0
10	0
11	4
12	2
13	8
14	0
15	0
16	0
17	0
18	0
19	0
20	6
21	8
22	8
23	4
24	16
25	0
26	0
27	0
28	0
29	0
30	0
31	0
32	0
33	4
34	24
35	4
36	28
37	16
38	16
39	8
40	32
41	0
42	0
43	0
44	0
45	0
46	0
47	0
48	0
49	0
50	0
51	1
52	24
53	36
54	48
55	24
56	56
57	40
58	56
59	32
60	32
61	16
62	64
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	0
72	0
73	0
74	0
75	0
76	8
77	60
78	72
79	144
80	26
81	168
82	104
83	128
84	64
85	176
86	80
87	112

n	a(n)
0	1
1	0
2	2
3	0
4	0
5	1
6	4
7	0
8	0
9	0
10	0
11	4
12	2
13	8
14	0
15	0
16	0
17	0
18	0
19	0
20	6
21	8
22	8
23	4
24	16
25	0
26	0
27	0
28	0
29	0
30	0
31	0
32	0
33	4
34	24
35	4
36	28
37	16
38	16
39	8
40	32
41	0
42	0
43	0
44	0
45	0
46	0
47	0
48	0
49	0
50	0
51	1
52	24
53	36
54	48
55	24
56	56
57	40
58	56
59	32
60	32
61	16
62	64
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	0
72	0
73	0
74	0
75	0
76	8
77	60
78	72
79	144
80	26
81	168
82	104
83	128
84	64
85	176
86	80
87	112

n	a(n)
0	1
1	0
2	2
3	0
4	0
5	1
6	4
7	0
8	0
9	0
10	0
11	4
12	2
13	8
14	0
15	0
16	0
17	0
18	0
19	0
20	6
21	8
22	8
23	4
24	16
25	0
26	0
27	0
28	0
29	0
30	0
31	0
32	0
33	4
34	24
35	4
36	28
37	16
38	16
39	8
40	32
41	0
42	0
43	0
44	0
45	0
46	0
47	0
48	0
49	0
50	0
51	1
52	24
53	36
54	48
55	24
56	56
57	40
58	56
59	32
60	32
61	16
62	64
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	0
72	0
73	0
74	0
75	0
76	8
77	60
78	72
79	144
80	26
81	168
82	104
83	128
84	64
85	176
86	80
87	112