A112106 - cp's OEIS frontend

A112106 Unique sequence of numbers {1,2,3} where g.f. A(x) satisfies A(x) = B(B(B(x))) (3rd self-COMPOSE) such that B(x) is an integer series, with A(0) = 0.

n	a(n)
1	1
2	3
3	3
4	3
5	2
6	2
7	1
8	2
9	1
10	3
11	1
12	1
13	3
14	3
15	3
16	2
17	3
18	3
19	2
20	2
21	2
22	1
23	2
24	2
25	3
26	1
27	2
28	1
29	1
30	2
31	3
32	2
33	2
34	2
35	1
36	2
37	2
38	3
39	2
40	2
41	2
42	1
43	1
44	1
45	1
46	2
47	3
48	2
49	1
50	2
51	3
52	2
53	3
54	2
55	2
56	3
57	2
58	3
59	3
60	2
61	3
62	3
63	3
64	1
65	3
66	2
67	1
68	3
69	2
70	2
71	1
72	2
73	3
74	1
75	3
76	1
77	3
78	1
79	1
80	1
81	3
82	1
83	2
84	3
85	3
86	3
87	3
88	3
89	3
90	1
91	1
92	2
93	2
94	3
95	3
96	1
97	3
98	2
99	1
100	2
101	2
102	1
103	1
104	3
105	1

[1, 3, 3, 3, 2, 2, 1, 2, 1, 3, 1, 1, 3, 3, 3, 2, 3, 3, 2, 2, 2, 1, 2, 2, 3, 1, 2, 1, 1, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 1, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 3, 2, 3, 3, 2, 3, 3, 3, 1, 3, 2, 1, 3, 2, 2, 1, 2, 3, 1, 3, 1, 3, 1, 1, 1, 3, 1, 2, 3, 3, 3, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 1, 1, 3, 1]

cp's OEIS Frontend

A112106 Unique sequence of numbers {1,2,3} where g.f. A(x) satisfies A(x) = B(B(B(x))) (3rd self-COMPOSE) such that B(x) is an integer series, with A(0) = 0.

Table of values

List of values

n	a(n)
1	1
2	3
3	3
4	3
5	2
6	2
7	1
8	2
9	1
10	3
11	1
12	1
13	3
14	3
15	3
16	2
17	3
18	3
19	2
20	2
21	2
22	1
23	2
24	2
25	3
26	1
27	2
28	1
29	1
30	2
31	3
32	2
33	2
34	2
35	1
36	2
37	2
38	3
39	2
40	2
41	2
42	1
43	1
44	1
45	1
46	2
47	3
48	2
49	1
50	2
51	3
52	2
53	3
54	2
55	2
56	3
57	2
58	3
59	3
60	2
61	3
62	3
63	3
64	1
65	3
66	2
67	1
68	3
69	2
70	2
71	1
72	2
73	3
74	1
75	3
76	1
77	3
78	1
79	1
80	1
81	3
82	1
83	2
84	3
85	3
86	3
87	3
88	3
89	3
90	1
91	1
92	2
93	2
94	3
95	3
96	1
97	3
98	2
99	1
100	2
101	2
102	1
103	1
104	3
105	1

n	a(n)
1	1
2	3
3	3
4	3
5	2
6	2
7	1
8	2
9	1
10	3
11	1
12	1
13	3
14	3
15	3
16	2
17	3
18	3
19	2
20	2
21	2
22	1
23	2
24	2
25	3
26	1
27	2
28	1
29	1
30	2
31	3
32	2
33	2
34	2
35	1
36	2
37	2
38	3
39	2
40	2
41	2
42	1
43	1
44	1
45	1
46	2
47	3
48	2
49	1
50	2
51	3
52	2
53	3
54	2
55	2
56	3
57	2
58	3
59	3
60	2
61	3
62	3
63	3
64	1
65	3
66	2
67	1
68	3
69	2
70	2
71	1
72	2
73	3
74	1
75	3
76	1
77	3
78	1
79	1
80	1
81	3
82	1
83	2
84	3
85	3
86	3
87	3
88	3
89	3
90	1
91	1
92	2
93	2
94	3
95	3
96	1
97	3
98	2
99	1
100	2
101	2
102	1
103	1
104	3
105	1

n	a(n)
1	1
2	3
3	3
4	3
5	2
6	2
7	1
8	2
9	1
10	3
11	1
12	1
13	3
14	3
15	3
16	2
17	3
18	3
19	2
20	2
21	2
22	1
23	2
24	2
25	3
26	1
27	2
28	1
29	1
30	2
31	3
32	2
33	2
34	2
35	1
36	2
37	2
38	3
39	2
40	2
41	2
42	1
43	1
44	1
45	1
46	2
47	3
48	2
49	1
50	2
51	3
52	2
53	3
54	2
55	2
56	3
57	2
58	3
59	3
60	2
61	3
62	3
63	3
64	1
65	3
66	2
67	1
68	3
69	2
70	2
71	1
72	2
73	3
74	1
75	3
76	1
77	3
78	1
79	1
80	1
81	3
82	1
83	2
84	3
85	3
86	3
87	3
88	3
89	3
90	1
91	1
92	2
93	2
94	3
95	3
96	1
97	3
98	2
99	1
100	2
101	2
102	1
103	1
104	3
105	1