A327160 - cp's OEIS frontend

A327160 Number of positive integers that are reachable from n with some combination of transitions x -> usigma(x)-x and x -> gcd(x,usigma(x)), where usigma is the sum of unitary divisors of n (A034448).

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

[1, 2, 2, 2, 2, 1, 2, 2, 2, 4, 2, 4, 2, 5, 4, 2, 2, 6, 2, 5, 3, 6, 2, 5, 2, 4, 2, 5, 2, 4, 2, 2, 5, 6, 3, 6, 2, 7, 3, 6, 2, 4, 2, 4, 5, 5, 2, 7, 2, 7, 5, 8, 2, 4, 3, 4, 3, 4, 2, 1, 2, 7, 3, 2, 3, 4, 2, 7, 4, 8, 2, 7, 2, 7, 3, 6, 3, 3, 2, 7, 2, 6, 2, 7, 3, 6, 6, 7, 2, 1, 5, 6, 4, 8, 4, 9, 2, 9, 5, 9, 2, 4, 2, 7, 7]

cp's OEIS Frontend

A327160 Number of positive integers that are reachable from n with some combination of transitions x -> usigma(x)-x and x -> gcd(x,usigma(x)), where usigma is the sum of unitary divisors of n (A034448).

Table of values

List of values

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

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

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