A134264 - cp's OEIS frontend

A134264 Coefficients T(j, k) of a partition transform for Lagrange compositional inversion of a function or generating series in terms of the coefficients of the power series for its reciprocal. Enumeration of noncrossing partitions and primitive parking functions. T(n,k) for n >= 1 and 1 <= k <= A000041(n-1), an irregular triangle read by rows.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	4
10	2
11	6
12	1
13	1
14	5
15	5
16	10
17	10
18	10
19	1
20	1
21	6
22	6
23	3
24	15
25	30
26	5
27	20
28	30
29	15
30	1
31	1
32	7
33	7
34	7
35	21
36	42
37	21
38	21
39	35
40	105
41	35
42	35
43	70
44	21
45	1
46	1
47	8
48	8
49	8
50	4
51	28
52	56
53	56
54	28
55	28
56	56
57	168
58	84
59	168
60	14
61	70
62	280
63	140
64	56
65	140
66	28
67	1
68	1
69	9
70	9
71	9
72	9
73	36
74	72

[1, 1, 1, 1, 1, 3, 1, 1, 4, 2, 6, 1, 1, 5, 5, 10, 10, 10, 1, 1, 6, 6, 3, 15, 30, 5, 20, 30, 15, 1, 1, 7, 7, 7, 21, 42, 21, 21, 35, 105, 35, 35, 70, 21, 1, 1, 8, 8, 8, 4, 28, 56, 56, 28, 28, 56, 168, 84, 168, 14, 70, 280, 140, 56, 140, 28, 1, 1, 9, 9, 9, 9, 36, 72]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	4
10	2
11	6
12	1
13	1
14	5
15	5
16	10
17	10
18	10
19	1
20	1
21	6
22	6
23	3
24	15
25	30
26	5
27	20
28	30
29	15
30	1
31	1
32	7
33	7
34	7
35	21
36	42
37	21
38	21
39	35
40	105
41	35
42	35
43	70
44	21
45	1
46	1
47	8
48	8
49	8
50	4
51	28
52	56
53	56
54	28
55	28
56	56
57	168
58	84
59	168
60	14
61	70
62	280
63	140
64	56
65	140
66	28
67	1
68	1
69	9
70	9
71	9
72	9
73	36
74	72

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	4
10	2
11	6
12	1
13	1
14	5
15	5
16	10
17	10
18	10
19	1
20	1
21	6
22	6
23	3
24	15
25	30
26	5
27	20
28	30
29	15
30	1
31	1
32	7
33	7
34	7
35	21
36	42
37	21
38	21
39	35
40	105
41	35
42	35
43	70
44	21
45	1
46	1
47	8
48	8
49	8
50	4
51	28
52	56
53	56
54	28
55	28
56	56
57	168
58	84
59	168
60	14
61	70
62	280
63	140
64	56
65	140
66	28
67	1
68	1
69	9
70	9
71	9
72	9
73	36
74	72

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	4
10	2
11	6
12	1
13	1
14	5
15	5
16	10
17	10
18	10
19	1
20	1
21	6
22	6
23	3
24	15
25	30
26	5
27	20
28	30
29	15
30	1
31	1
32	7
33	7
34	7
35	21
36	42
37	21
38	21
39	35
40	105
41	35
42	35
43	70
44	21
45	1
46	1
47	8
48	8
49	8
50	4
51	28
52	56
53	56
54	28
55	28
56	56
57	168
58	84
59	168
60	14
61	70
62	280
63	140
64	56
65	140
66	28
67	1
68	1
69	9
70	9
71	9
72	9
73	36
74	72