A333003 - cp's OEIS frontend

A333003 Denominator of the average path sum when iterating from n to 1 with nondeterministic map k -> k - k/p, where p is any prime factor of k.

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

[1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 3, 3, 1, 5, 1, 1, 5, 5, 1, 5, 5, 5, 4, 1, 7, 5, 9, 9, 12, 12, 1, 17, 2, 7, 9, 9, 7, 4, 4, 4, 7, 7, 3, 7, 7, 7, 5, 7, 1, 7, 6, 6, 7, 8, 7, 7, 23, 23, 21, 21, 33, 7, 1, 11, 47, 47, 1, 61, 28, 28, 7, 7, 23, 14, 2, 103, 3, 3, 5, 7, 1, 1, 1, 4, 21, 79, 7, 7, 7, 7, 7, 89, 7, 14, 2, 2, 21, 103, 1, 1, 16, 16, 18, 84]

cp's OEIS Frontend

A333003 Denominator of the average path sum when iterating from n to 1 with nondeterministic map k -> k - k/p, where p is any prime factor of k.

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

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

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