A138158 - cp's OEIS frontend

A138158 Triangle read by rows: T(n,k) is the number of ordered trees with n edges and path length k; 0 <= k <= n(n+1)/2.

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	1
7	0
8	0
9	0
10	1
11	2
12	1
13	1
14	0
15	0
16	0
17	0
18	1
19	3
20	3
21	3
22	2
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	1
31	4
32	6
33	7
34	7
35	5
36	5
37	3
38	2
39	1
40	1
41	0
42	0
43	0
44	0
45	0
46	0
47	1
48	5
49	10
50	14
51	17
52	16
53	16
54	14
55	11
56	9
57	7
58	5
59	3
60	2
61	1
62	1
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	1
71	6
72	15
73	25
74	35
75	40
76	43
77	44
78	40
79	37
80	32
81	28
82	22
83	18
84	13
85	11
86	7
87	5
88	3
89	2
90	1
91	1

[1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 4, 6, 7, 7, 5, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 5, 10, 14, 17, 16, 16, 14, 11, 9, 7, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 6, 15, 25, 35, 40, 43, 44, 40, 37, 32, 28, 22, 18, 13, 11, 7, 5, 3, 2, 1, 1]

cp's OEIS Frontend

A138158 Triangle read by rows: T(n,k) is the number of ordered 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	1
3	0
4	0
5	1
6	1
7	0
8	0
9	0
10	1
11	2
12	1
13	1
14	0
15	0
16	0
17	0
18	1
19	3
20	3
21	3
22	2
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	1
31	4
32	6
33	7
34	7
35	5
36	5
37	3
38	2
39	1
40	1
41	0
42	0
43	0
44	0
45	0
46	0
47	1
48	5
49	10
50	14
51	17
52	16
53	16
54	14
55	11
56	9
57	7
58	5
59	3
60	2
61	1
62	1
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	1
71	6
72	15
73	25
74	35
75	40
76	43
77	44
78	40
79	37
80	32
81	28
82	22
83	18
84	13
85	11
86	7
87	5
88	3
89	2
90	1
91	1

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	1
7	0
8	0
9	0
10	1
11	2
12	1
13	1
14	0
15	0
16	0
17	0
18	1
19	3
20	3
21	3
22	2
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	1
31	4
32	6
33	7
34	7
35	5
36	5
37	3
38	2
39	1
40	1
41	0
42	0
43	0
44	0
45	0
46	0
47	1
48	5
49	10
50	14
51	17
52	16
53	16
54	14
55	11
56	9
57	7
58	5
59	3
60	2
61	1
62	1
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	1
71	6
72	15
73	25
74	35
75	40
76	43
77	44
78	40
79	37
80	32
81	28
82	22
83	18
84	13
85	11
86	7
87	5
88	3
89	2
90	1
91	1

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	1
7	0
8	0
9	0
10	1
11	2
12	1
13	1
14	0
15	0
16	0
17	0
18	1
19	3
20	3
21	3
22	2
23	1
24	1
25	0
26	0
27	0
28	0
29	0
30	1
31	4
32	6
33	7
34	7
35	5
36	5
37	3
38	2
39	1
40	1
41	0
42	0
43	0
44	0
45	0
46	0
47	1
48	5
49	10
50	14
51	17
52	16
53	16
54	14
55	11
56	9
57	7
58	5
59	3
60	2
61	1
62	1
63	0
64	0
65	0
66	0
67	0
68	0
69	0
70	1
71	6
72	15
73	25
74	35
75	40
76	43
77	44
78	40
79	37
80	32
81	28
82	22
83	18
84	13
85	11
86	7
87	5
88	3
89	2
90	1
91	1