A348337 - cp's OEIS frontend

A348337 For n >= 1; x = n, then iterate x --> x + d(x) until d(x + d(x)) >= d(x). a(n) gives the number of iteration steps where d(i) is the number of divisors of i, A000005(i).

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

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

cp's OEIS Frontend

A348337 For n >= 1; x = n, then iterate x --> x + d(x) until d(x + d(x)) >= d(x). a(n) gives the number of iteration steps where d(i) is the number of divisors of i, A000005(i).

Table of values

List of values

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

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

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