A377403 - cp's OEIS frontend

A377403 For n >= 2, a(n) is the number of iterations needed for the map: x -> x / A085392(x) if A085392(x) > 1, otherwise x -> x + A151800(x), to (the first occurrence of) 2.

n	a(n)
2	0
3	3
4	1
5	3
6	1
7	3
8	2
9	4
10	1
11	4
12	2
13	3
14	1
15	4
16	3
17	4
18	2
19	3
20	2
21	4
22	1
23	3
24	3
25	4
26	1
27	5
28	2
29	4
30	2
31	3
32	4
33	4
34	1
35	4
36	3
37	3
38	1
39	4
40	3
41	4
42	2
43	4
44	2
45	5
46	1
47	4
48	4
49	4
50	2
51	4
52	2
53	5
54	3
55	4
56	3
57	4
58	1
59	5
60	3
61	7
62	1
63	5
64	5
65	4
66	2
67	3
68	2
69	4
70	2
71	6
72	4
73	4
74	1
75	5
76	2
77	4
78	2
79	5
80	4
81	6
82	1
83	3
84	3
85	4
86	1
87	4
88	3
89	3
90	3
91	4
92	2
93	4
94	1
95	4
96	5
97	4
98	2
99	5
100	3
101	4
102	2
103	4
104	3
105	5
106	1
107	6
108	4
109	3
110	2
111	4
112	4
113	6
114	2
115	4
116	2
117	5
118	1
119	4
120	4
121	5

[0, 3, 1, 3, 1, 3, 2, 4, 1, 4, 2, 3, 1, 4, 3, 4, 2, 3, 2, 4, 1, 3, 3, 4, 1, 5, 2, 4, 2, 3, 4, 4, 1, 4, 3, 3, 1, 4, 3, 4, 2, 4, 2, 5, 1, 4, 4, 4, 2, 4, 2, 5, 3, 4, 3, 4, 1, 5, 3, 7, 1, 5, 5, 4, 2, 3, 2, 4, 2, 6, 4, 4, 1, 5, 2, 4, 2, 5, 4, 6, 1, 3, 3, 4, 1, 4, 3, 3, 3, 4, 2, 4, 1, 4, 5, 4, 2, 5, 3, 4, 2, 4, 3, 5, 1, 6, 4, 3, 2, 4, 4, 6, 2, 4, 2, 5, 1, 4, 4, 5]

cp's OEIS Frontend

A377403 For n >= 2, a(n) is the number of iterations needed for the map: x -> x / A085392(x) if A085392(x) > 1, otherwise x -> x + A151800(x), to (the first occurrence of) 2.

Table of values

List of values

n	a(n)
2	0
3	3
4	1
5	3
6	1
7	3
8	2
9	4
10	1
11	4
12	2
13	3
14	1
15	4
16	3
17	4
18	2
19	3
20	2
21	4
22	1
23	3
24	3
25	4
26	1
27	5
28	2
29	4
30	2
31	3
32	4
33	4
34	1
35	4
36	3
37	3
38	1
39	4
40	3
41	4
42	2
43	4
44	2
45	5
46	1
47	4
48	4
49	4
50	2
51	4
52	2
53	5
54	3
55	4
56	3
57	4
58	1
59	5
60	3
61	7
62	1
63	5
64	5
65	4
66	2
67	3
68	2
69	4
70	2
71	6
72	4
73	4
74	1
75	5
76	2
77	4
78	2
79	5
80	4
81	6
82	1
83	3
84	3
85	4
86	1
87	4
88	3
89	3
90	3
91	4
92	2
93	4
94	1
95	4
96	5
97	4
98	2
99	5
100	3
101	4
102	2
103	4
104	3
105	5
106	1
107	6
108	4
109	3
110	2
111	4
112	4
113	6
114	2
115	4
116	2
117	5
118	1
119	4
120	4
121	5

n	a(n)
2	0
3	3
4	1
5	3
6	1
7	3
8	2
9	4
10	1
11	4
12	2
13	3
14	1
15	4
16	3
17	4
18	2
19	3
20	2
21	4
22	1
23	3
24	3
25	4
26	1
27	5
28	2
29	4
30	2
31	3
32	4
33	4
34	1
35	4
36	3
37	3
38	1
39	4
40	3
41	4
42	2
43	4
44	2
45	5
46	1
47	4
48	4
49	4
50	2
51	4
52	2
53	5
54	3
55	4
56	3
57	4
58	1
59	5
60	3
61	7
62	1
63	5
64	5
65	4
66	2
67	3
68	2
69	4
70	2
71	6
72	4
73	4
74	1
75	5
76	2
77	4
78	2
79	5
80	4
81	6
82	1
83	3
84	3
85	4
86	1
87	4
88	3
89	3
90	3
91	4
92	2
93	4
94	1
95	4
96	5
97	4
98	2
99	5
100	3
101	4
102	2
103	4
104	3
105	5
106	1
107	6
108	4
109	3
110	2
111	4
112	4
113	6
114	2
115	4
116	2
117	5
118	1
119	4
120	4
121	5

n	a(n)
2	0
3	3
4	1
5	3
6	1
7	3
8	2
9	4
10	1
11	4
12	2
13	3
14	1
15	4
16	3
17	4
18	2
19	3
20	2
21	4
22	1
23	3
24	3
25	4
26	1
27	5
28	2
29	4
30	2
31	3
32	4
33	4
34	1
35	4
36	3
37	3
38	1
39	4
40	3
41	4
42	2
43	4
44	2
45	5
46	1
47	4
48	4
49	4
50	2
51	4
52	2
53	5
54	3
55	4
56	3
57	4
58	1
59	5
60	3
61	7
62	1
63	5
64	5
65	4
66	2
67	3
68	2
69	4
70	2
71	6
72	4
73	4
74	1
75	5
76	2
77	4
78	2
79	5
80	4
81	6
82	1
83	3
84	3
85	4
86	1
87	4
88	3
89	3
90	3
91	4
92	2
93	4
94	1
95	4
96	5
97	4
98	2
99	5
100	3
101	4
102	2
103	4
104	3
105	5
106	1
107	6
108	4
109	3
110	2
111	4
112	4
113	6
114	2
115	4
116	2
117	5
118	1
119	4
120	4
121	5