A108352 - cp's OEIS frontend

A108352 a(n) = primal code characteristic of n, which is the least positive integer, if any, such that (n o)^k = 1, otherwise equal to 0. Here "o" denotes the primal composition operator, as illustrated in A106177 and A108371 and (n o)^k = n o ... o n, with k occurrences of n.

n	a(n)
1	1
2	0
3	2
4	2
5	2
6	0
7	2
8	2
9	0
10	0
11	2
12	0
13	2
14	0
15	2
16	2
17	2
18	0
19	2
20	3
21	2
22	0
23	2
24	3
25	2
26	0
27	2
28	3
29	2
30	0
31	2
32	2
33	2
34	0
35	2
36	0
37	2
38	0
39	2
40	0
41	2
42	0
43	2
44	3
45	0
46	0
47	2
48	3
49	2
50	0
51	2
52	3
53	2
54	0
55	2
56	3
57	2
58	0
59	2
60	0
61	2
62	0
63	0
64	2
65	2
66	0
67	2
68	3
69	2
70	0
71	2
72	0
73	2
74	0
75	3
76	3
77	2
78	0
79	2
80	3
81	2
82	0
83	2
84	0
85	2
86	0
87	2
88	3
89	2
90	0
91	2
92	3
93	2
94	0
95	2
96	3
97	2
98	0
99	0
100	2
101	2
102	0
103	2
104	3
105	2

[1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 3, 2, 0, 2, 3, 2, 0, 2, 3, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 0, 2, 3, 2, 0, 2, 3, 2, 0, 2, 3, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 3, 2, 0, 2, 0, 2, 0, 3, 3, 2, 0, 2, 3, 2, 0, 2, 0, 2, 0, 2, 3, 2, 0, 2, 3, 2, 0, 2, 3, 2, 0, 0, 2, 2, 0, 2, 3, 2]

cp's OEIS Frontend

A108352 a(n) = primal code characteristic of n, which is the least positive integer, if any, such that (n o)^k = 1, otherwise equal to 0. Here "o" denotes the primal composition operator, as illustrated in A106177 and A108371 and (n o)^k = n o ... o n, with k occurrences of n.

Table of values

List of values

n	a(n)
1	1
2	0
3	2
4	2
5	2
6	0
7	2
8	2
9	0
10	0
11	2
12	0
13	2
14	0
15	2
16	2
17	2
18	0
19	2
20	3
21	2
22	0
23	2
24	3
25	2
26	0
27	2
28	3
29	2
30	0
31	2
32	2
33	2
34	0
35	2
36	0
37	2
38	0
39	2
40	0
41	2
42	0
43	2
44	3
45	0
46	0
47	2
48	3
49	2
50	0
51	2
52	3
53	2
54	0
55	2
56	3
57	2
58	0
59	2
60	0
61	2
62	0
63	0
64	2
65	2
66	0
67	2
68	3
69	2
70	0
71	2
72	0
73	2
74	0
75	3
76	3
77	2
78	0
79	2
80	3
81	2
82	0
83	2
84	0
85	2
86	0
87	2
88	3
89	2
90	0
91	2
92	3
93	2
94	0
95	2
96	3
97	2
98	0
99	0
100	2
101	2
102	0
103	2
104	3
105	2

n	a(n)
1	1
2	0
3	2
4	2
5	2
6	0
7	2
8	2
9	0
10	0
11	2
12	0
13	2
14	0
15	2
16	2
17	2
18	0
19	2
20	3
21	2
22	0
23	2
24	3
25	2
26	0
27	2
28	3
29	2
30	0
31	2
32	2
33	2
34	0
35	2
36	0
37	2
38	0
39	2
40	0
41	2
42	0
43	2
44	3
45	0
46	0
47	2
48	3
49	2
50	0
51	2
52	3
53	2
54	0
55	2
56	3
57	2
58	0
59	2
60	0
61	2
62	0
63	0
64	2
65	2
66	0
67	2
68	3
69	2
70	0
71	2
72	0
73	2
74	0
75	3
76	3
77	2
78	0
79	2
80	3
81	2
82	0
83	2
84	0
85	2
86	0
87	2
88	3
89	2
90	0
91	2
92	3
93	2
94	0
95	2
96	3
97	2
98	0
99	0
100	2
101	2
102	0
103	2
104	3
105	2

n	a(n)
1	1
2	0
3	2
4	2
5	2
6	0
7	2
8	2
9	0
10	0
11	2
12	0
13	2
14	0
15	2
16	2
17	2
18	0
19	2
20	3
21	2
22	0
23	2
24	3
25	2
26	0
27	2
28	3
29	2
30	0
31	2
32	2
33	2
34	0
35	2
36	0
37	2
38	0
39	2
40	0
41	2
42	0
43	2
44	3
45	0
46	0
47	2
48	3
49	2
50	0
51	2
52	3
53	2
54	0
55	2
56	3
57	2
58	0
59	2
60	0
61	2
62	0
63	0
64	2
65	2
66	0
67	2
68	3
69	2
70	0
71	2
72	0
73	2
74	0
75	3
76	3
77	2
78	0
79	2
80	3
81	2
82	0
83	2
84	0
85	2
86	0
87	2
88	3
89	2
90	0
91	2
92	3
93	2
94	0
95	2
96	3
97	2
98	0
99	0
100	2
101	2
102	0
103	2
104	3
105	2