A333123 - cp's OEIS frontend

A333123 Consider the mapping k -> (k - (k/p)), where p is any of k's prime factors. a(n) is the number of different possible paths from n to 1.

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

[1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 3, 3, 5, 5, 1, 1, 5, 5, 3, 10, 5, 5, 4, 3, 7, 5, 9, 9, 12, 12, 1, 17, 2, 21, 9, 9, 14, 16, 4, 4, 28, 28, 9, 21, 14, 14, 5, 28, 7, 7, 12, 12, 14, 16, 14, 28, 23, 23, 21, 21, 33, 42, 1, 33, 47, 47, 3, 61, 56, 56, 14, 14, 23, 28, 28, 103, 42, 42, 5]

cp's OEIS Frontend

A333123 Consider the mapping k -> (k - (k/p)), where p is any of k's prime factors. a(n) is the number of different possible paths from n to 1.

Table of values

List of values

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

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

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