A355201 - cp's OEIS frontend

A355201 Normalized Schur self-convolution expansion coefficients K_{n+1}^n / n giving the coefficients of the Laurent series (compositionally) inverse to f(z) = c_0 z + c_1 + c_2 / z + c_3 / z^2 + ... . Irregular triangle for partition polynomials, with row lengths A000041(n) - 1 except for the first two, which are both of length 1.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	3
11	3
12	3
13	3
14	1
15	1
16	6
17	4
18	2
19	12
20	6
21	2
22	4
23	4
24	1
25	1
26	10
27	5
28	10
29	30
30	10
31	10
32	10
33	20
34	10
35	5
36	5
37	5
38	1
39	1
40	15
41	6
42	30
43	60
44	15
45	5
46	60
47	30
48	60
49	20
50	15
51	15
52	30
53	30
54	15
55	3
56	6
57	6
58	6
59	1
60	1
61	21
62	7
63	70
64	105
65	21
66	35
67	210
68	70
69	140
70	35
71	35
72	105
73	105
74	105
75	105
76	35
77	7
78	42
79	21
80	21
81	42
82	42
83	21
84	7
85	7
86	7
87	7
88	1

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 1, 1, 6, 4, 2, 12, 6, 2, 4, 4, 1, 1, 10, 5, 10, 30, 10, 10, 10, 20, 10, 5, 5, 5, 1, 1, 15, 6, 30, 60, 15, 5, 60, 30, 60, 20, 15, 15, 30, 30, 15, 3, 6, 6, 6, 1, 1, 21, 7, 70, 105, 21, 35, 210, 70, 140, 35, 35, 105, 105, 105, 105, 35, 7, 42, 21, 21, 42, 42, 21, 7, 7, 7, 7, 1]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	3
11	3
12	3
13	3
14	1
15	1
16	6
17	4
18	2
19	12
20	6
21	2
22	4
23	4
24	1
25	1
26	10
27	5
28	10
29	30
30	10
31	10
32	10
33	20
34	10
35	5
36	5
37	5
38	1
39	1
40	15
41	6
42	30
43	60
44	15
45	5
46	60
47	30
48	60
49	20
50	15
51	15
52	30
53	30
54	15
55	3
56	6
57	6
58	6
59	1
60	1
61	21
62	7
63	70
64	105
65	21
66	35
67	210
68	70
69	140
70	35
71	35
72	105
73	105
74	105
75	105
76	35
77	7
78	42
79	21
80	21
81	42
82	42
83	21
84	7
85	7
86	7
87	7
88	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	3
11	3
12	3
13	3
14	1
15	1
16	6
17	4
18	2
19	12
20	6
21	2
22	4
23	4
24	1
25	1
26	10
27	5
28	10
29	30
30	10
31	10
32	10
33	20
34	10
35	5
36	5
37	5
38	1
39	1
40	15
41	6
42	30
43	60
44	15
45	5
46	60
47	30
48	60
49	20
50	15
51	15
52	30
53	30
54	15
55	3
56	6
57	6
58	6
59	1
60	1
61	21
62	7
63	70
64	105
65	21
66	35
67	210
68	70
69	140
70	35
71	35
72	105
73	105
74	105
75	105
76	35
77	7
78	42
79	21
80	21
81	42
82	42
83	21
84	7
85	7
86	7
87	7
88	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	3
11	3
12	3
13	3
14	1
15	1
16	6
17	4
18	2
19	12
20	6
21	2
22	4
23	4
24	1
25	1
26	10
27	5
28	10
29	30
30	10
31	10
32	10
33	20
34	10
35	5
36	5
37	5
38	1
39	1
40	15
41	6
42	30
43	60
44	15
45	5
46	60
47	30
48	60
49	20
50	15
51	15
52	30
53	30
54	15
55	3
56	6
57	6
58	6
59	1
60	1
61	21
62	7
63	70
64	105
65	21
66	35
67	210
68	70
69	140
70	35
71	35
72	105
73	105
74	105
75	105
76	35
77	7
78	42
79	21
80	21
81	42
82	42
83	21
84	7
85	7
86	7
87	7
88	1