A147301 - cp's OEIS frontend

A147301 a(n) = smallest value of parameter m such that the function rad(m n (n - m)) has maximal value n=2,3,4..., 0 < m < n where the function rad(k) (also called radical(k)) is the product of distinct prime divisors of k.

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

[1, 1, 1, 2, 1, 2, 3, 2, 3, 5, 5, 6, 3, 2, 5, 7, 7, 6, 7, 10, 7, 10, 11, 11, 11, 13, 13, 14, 13, 14, 15, 14, 15, 13, 17, 15, 17, 17, 19, 19, 19, 21, 21, 22, 17, 21, 19, 23, 21, 22, 23, 23, 23, 26, 23, 26, 23, 29, 29, 30, 29, 29, 31, 31, 31, 33, 33, 34, 33, 34, 35, 35, 35, 37, 37, 38]

cp's OEIS Frontend

A147301 a(n) = smallest value of parameter m such that the function rad(m n (n - m)) has maximal value n=2,3,4..., 0 < m < n where the function rad(k) (also called radical(k)) is the product of distinct prime divisors of k.

Table of values

List of values

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

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

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