A357610 - cp's OEIS frontend

A357610 Start with x = 3 and repeat the map x -> floor(n/x) + (n mod x) until an x occurs that has already appeared, then that is a(n).

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

[1, 2, 3, 2, 3, 3, 3, 4, 3, 4, 3, 3, 5, 6, 3, 6, 5, 3, 7, 5, 3, 8, 7, 3, 9, 6, 3, 10, 9, 3, 11, 8, 3, 12, 5, 3, 13, 10, 3, 14, 9, 3, 15, 11, 3, 16, 11, 3, 17, 5, 3, 18, 5, 3, 19, 12, 3, 20, 11, 3, 21, 14, 3, 22, 5, 3, 23, 8, 3, 24, 15, 3, 25, 14, 3, 26, 17, 3, 27, 5, 3, 28, 11, 3, 29, 18, 3, 30, 9]

cp's OEIS Frontend

A357610 Start with x = 3 and repeat the map x -> floor(n/x) + (n mod x) until an x occurs that has already appeared, then that is a(n).

Table of values

List of values

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

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

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