A128520 - cp's OEIS frontend

A128520 q-inverse of x-x^2-x^3. Coefficients of a solution to the functional equation x = f(x) - f(x) f(q x) - f(x) f(q x) f(q^2 x).

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	4
7	2
8	3
9	1
10	6
11	8
12	8
13	7
14	3
15	5
16	1
17	8
18	18
19	21
20	28
21	17
22	23
23	14
24	11
25	5
26	8
27	1
28	10
29	32
30	50
31	73
32	73
33	77
34	79
35	58
36	57
37	44
38	39
39	22
40	18
41	8
42	13
43	1
44	12
45	50
46	103
47	166
48	221
49	238
50	289
51	256
52	269
53	226
54	231
55	176
56	166
57	113
58	119
59	74
60	62
61	36
62	29
63	13
64	21
65	1
66	14
67	72
68	188
69	347
70	545
71	680
72	861

[1, 1, 1, 2, 1, 4, 2, 3, 1, 6, 8, 8, 7, 3, 5, 1, 8, 18, 21, 28, 17, 23, 14, 11, 5, 8, 1, 10, 32, 50, 73, 73, 77, 79, 58, 57, 44, 39, 22, 18, 8, 13, 1, 12, 50, 103, 166, 221, 238, 289, 256, 269, 226, 231, 176, 166, 113, 119, 74, 62, 36, 29, 13, 21, 1, 14, 72, 188, 347, 545, 680, 861]

cp's OEIS Frontend

A128520 q-inverse of x-x^2-x^3. Coefficients of a solution to the functional equation x = f(x) - f(x) f(q x) - f(x) f(q x) f(q^2 x).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	4
7	2
8	3
9	1
10	6
11	8
12	8
13	7
14	3
15	5
16	1
17	8
18	18
19	21
20	28
21	17
22	23
23	14
24	11
25	5
26	8
27	1
28	10
29	32
30	50
31	73
32	73
33	77
34	79
35	58
36	57
37	44
38	39
39	22
40	18
41	8
42	13
43	1
44	12
45	50
46	103
47	166
48	221
49	238
50	289
51	256
52	269
53	226
54	231
55	176
56	166
57	113
58	119
59	74
60	62
61	36
62	29
63	13
64	21
65	1
66	14
67	72
68	188
69	347
70	545
71	680
72	861

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	4
7	2
8	3
9	1
10	6
11	8
12	8
13	7
14	3
15	5
16	1
17	8
18	18
19	21
20	28
21	17
22	23
23	14
24	11
25	5
26	8
27	1
28	10
29	32
30	50
31	73
32	73
33	77
34	79
35	58
36	57
37	44
38	39
39	22
40	18
41	8
42	13
43	1
44	12
45	50
46	103
47	166
48	221
49	238
50	289
51	256
52	269
53	226
54	231
55	176
56	166
57	113
58	119
59	74
60	62
61	36
62	29
63	13
64	21
65	1
66	14
67	72
68	188
69	347
70	545
71	680
72	861

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	4
7	2
8	3
9	1
10	6
11	8
12	8
13	7
14	3
15	5
16	1
17	8
18	18
19	21
20	28
21	17
22	23
23	14
24	11
25	5
26	8
27	1
28	10
29	32
30	50
31	73
32	73
33	77
34	79
35	58
36	57
37	44
38	39
39	22
40	18
41	8
42	13
43	1
44	12
45	50
46	103
47	166
48	221
49	238
50	289
51	256
52	269
53	226
54	231
55	176
56	166
57	113
58	119
59	74
60	62
61	36
62	29
63	13
64	21
65	1
66	14
67	72
68	188
69	347
70	545
71	680
72	861