A102280 - cp's OEIS frontend

A102280 Let k = n-th number == 1 or 5 mod 6 (A007310(n)); consider the generalized 3x+1 map T_k defined by T_k(n) = (3n+k)/2 if n odd, n/2 if n even; then a(n) = smallest positive number m which is in a primitive cycle of T_k.

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

[1, 1, 5, 1, 1, 1, 5, 5, 7, 1, 13, 13, 19, 1, 1, 5, 25, 103, 1, 1, 1, 19, 17, 29, 5, 1, 1, 65, 7, 17, 1, 1, 1, 7, 5, 1, 19, 1, 13, 1, 5, 1, 1, 13, 11, 1, 11, 7, 1, 19, 41, 1, 13, 11, 11, 13, 11, 7, 29, 5, 11, 1, 5, 47, 1, 5, 13, 1, 43, 1, 37, 1, 17, 5, 35, 5, 7, 5, 11, 1, 7, 43, 1, 91, 1, 1, 29, 7, 47, 55, 17, 1, 13]

cp's OEIS Frontend

A102280 Let k = n-th number == 1 or 5 mod 6 (A007310(n)); consider the generalized 3x+1 map T_k defined by T_k(n) = (3n+k)/2 if n odd, n/2 if n even; then a(n) = smallest positive number m which is in a primitive cycle of T_k.

Table of values

List of values

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

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

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