A357554 - cp's OEIS frontend

A357554 Triangular array read by rows. For T(n,k) where 1 <= k <= n, start with x = k and repeat the map x -> floor(n/x) + (n mod x) until an x occurs that has already appeared, then that is T(n,k).

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

[1, 1, 2, 1, 2, 3, 1, 2, 2, 4, 1, 3, 3, 3, 5, 1, 2, 3, 3, 2, 6, 1, 4, 3, 4, 3, 4, 7, 1, 2, 4, 4, 4, 4, 2, 8, 1, 5, 3, 3, 5, 3, 3, 5, 9, 1, 2, 4, 4, 5, 5, 4, 4, 2, 10, 1, 6, 3, 5, 5, 6, 5, 5, 3, 6, 11, 1, 2, 3, 4, 4, 6, 6, 4, 4, 3, 2, 12, 1, 7, 5, 4, 5, 5, 7, 5, 5, 4, 5, 7, 13]

cp's OEIS Frontend

A357554 Triangular array read by rows. For T(n,k) where 1 <= k <= n, start with x = k and repeat the map x -> floor(n/x) + (n mod x) until an x occurs that has already appeared, then that is T(n,k).

Table of values

List of values

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

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

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