A381229 - cp's OEIS frontend

A381229 a(n) is the number of distinct positive integers that can be obtained by starting with n, and optionally applying the operations square root, floor, and ceiling, in any order.

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

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

cp's OEIS Frontend

A381229 a(n) is the number of distinct positive integers that can be obtained by starting with n, and optionally applying the operations square root, floor, and ceiling, in any order.

Table of values

List of values

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

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

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