A036370 - cp's OEIS frontend

A036370 Triangle of coefficients of generating function of ternary rooted trees of height at most n.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	3
13	4
14	4
15	5
16	4
17	4
18	3
19	2
20	1
21	1
22	1
23	1
24	1
25	2
26	4
27	7
28	12
29	20
30	31
31	47
32	70
33	99
34	137
35	184
36	239
37	300
38	369
39	432
40	498
41	551
42	594
43	614
44	624
45	601
46	570
47	514
48	453
49	378
50	312
51	238
52	181
53	128
54	89
55	56
56	37
57	20
58	12
59	6
60	3
61	1
62	1

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 5, 4, 4, 3, 2, 1, 1, 1, 1, 1, 2, 4, 7, 12, 20, 31, 47, 70, 99, 137, 184, 239, 300, 369, 432, 498, 551, 594, 614, 624, 601, 570, 514, 453, 378, 312, 238, 181, 128, 89, 56, 37, 20, 12, 6, 3, 1, 1]

cp's OEIS Frontend

A036370 Triangle of coefficients of generating function of ternary rooted trees of height at most n.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	3
13	4
14	4
15	5
16	4
17	4
18	3
19	2
20	1
21	1
22	1
23	1
24	1
25	2
26	4
27	7
28	12
29	20
30	31
31	47
32	70
33	99
34	137
35	184
36	239
37	300
38	369
39	432
40	498
41	551
42	594
43	614
44	624
45	601
46	570
47	514
48	453
49	378
50	312
51	238
52	181
53	128
54	89
55	56
56	37
57	20
58	12
59	6
60	3
61	1
62	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	3
13	4
14	4
15	5
16	4
17	4
18	3
19	2
20	1
21	1
22	1
23	1
24	1
25	2
26	4
27	7
28	12
29	20
30	31
31	47
32	70
33	99
34	137
35	184
36	239
37	300
38	369
39	432
40	498
41	551
42	594
43	614
44	624
45	601
46	570
47	514
48	453
49	378
50	312
51	238
52	181
53	128
54	89
55	56
56	37
57	20
58	12
59	6
60	3
61	1
62	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	3
13	4
14	4
15	5
16	4
17	4
18	3
19	2
20	1
21	1
22	1
23	1
24	1
25	2
26	4
27	7
28	12
29	20
30	31
31	47
32	70
33	99
34	137
35	184
36	239
37	300
38	369
39	432
40	498
41	551
42	594
43	614
44	624
45	601
46	570
47	514
48	453
49	378
50	312
51	238
52	181
53	128
54	89
55	56
56	37
57	20
58	12
59	6
60	3
61	1
62	1