A261100 - cp's OEIS frontend

A261100 a(n) is the greatest m for which A002182(m) <= n; the least monotonic left inverse for highly composite numbers A002182.

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

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

cp's OEIS Frontend

A261100 a(n) is the greatest m for which A002182(m) <= n; the least monotonic left inverse for highly composite numbers A002182.

Table of values

List of values

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

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

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