A048475 - cp's OEIS frontend

A048475 a(n) is the smallest k at which the number of divisors of binomial(n,k) is maximized.

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	3
7	2
8	3
9	3
10	5
11	4
12	5
13	6
14	7
15	7
16	8
17	6
18	7
19	6
20	7
21	7
22	11
23	8
24	11
25	11
26	13
27	12
28	13
29	14
30	15
31	11
32	13
33	13
34	14
35	15
36	17
37	18
38	19
39	19
40	20
41	18
42	19
43	20
44	21
45	19
46	23
47	23
48	24
49	23
50	24
51	20
52	23
53	22
54	23
55	24
56	23
57	28
58	29
59	21
60	29
61	23
62	23
63	29
64	21
65	31
66	29
67	29
68	24
69	31
70	29
71	24
72	29
73	29
74	31
75	31
76	33

[0, 1, 1, 2, 2, 3, 2, 3, 3, 5, 4, 5, 6, 7, 7, 8, 6, 7, 6, 7, 7, 11, 8, 11, 11, 13, 12, 13, 14, 15, 11, 13, 13, 14, 15, 17, 18, 19, 19, 20, 18, 19, 20, 21, 19, 23, 23, 24, 23, 24, 20, 23, 22, 23, 24, 23, 28, 29, 21, 29, 23, 23, 29, 21, 31, 29, 29, 24, 31, 29, 24, 29, 29, 31, 31, 33]

cp's OEIS Frontend

A048475 a(n) is the smallest k at which the number of divisors of binomial(n,k) is maximized.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	3
7	2
8	3
9	3
10	5
11	4
12	5
13	6
14	7
15	7
16	8
17	6
18	7
19	6
20	7
21	7
22	11
23	8
24	11
25	11
26	13
27	12
28	13
29	14
30	15
31	11
32	13
33	13
34	14
35	15
36	17
37	18
38	19
39	19
40	20
41	18
42	19
43	20
44	21
45	19
46	23
47	23
48	24
49	23
50	24
51	20
52	23
53	22
54	23
55	24
56	23
57	28
58	29
59	21
60	29
61	23
62	23
63	29
64	21
65	31
66	29
67	29
68	24
69	31
70	29
71	24
72	29
73	29
74	31
75	31
76	33

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	3
7	2
8	3
9	3
10	5
11	4
12	5
13	6
14	7
15	7
16	8
17	6
18	7
19	6
20	7
21	7
22	11
23	8
24	11
25	11
26	13
27	12
28	13
29	14
30	15
31	11
32	13
33	13
34	14
35	15
36	17
37	18
38	19
39	19
40	20
41	18
42	19
43	20
44	21
45	19
46	23
47	23
48	24
49	23
50	24
51	20
52	23
53	22
54	23
55	24
56	23
57	28
58	29
59	21
60	29
61	23
62	23
63	29
64	21
65	31
66	29
67	29
68	24
69	31
70	29
71	24
72	29
73	29
74	31
75	31
76	33

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	3
7	2
8	3
9	3
10	5
11	4
12	5
13	6
14	7
15	7
16	8
17	6
18	7
19	6
20	7
21	7
22	11
23	8
24	11
25	11
26	13
27	12
28	13
29	14
30	15
31	11
32	13
33	13
34	14
35	15
36	17
37	18
38	19
39	19
40	20
41	18
42	19
43	20
44	21
45	19
46	23
47	23
48	24
49	23
50	24
51	20
52	23
53	22
54	23
55	24
56	23
57	28
58	29
59	21
60	29
61	23
62	23
63	29
64	21
65	31
66	29
67	29
68	24
69	31
70	29
71	24
72	29
73	29
74	31
75	31
76	33