A379604 - cp's OEIS frontend

A379604 a(n) is the maximum number of items in a bucket for the bucket sort algorithm with input {0, 1, ..., n-1} and B = floor(sqrt(n)) buckets.

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

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

cp's OEIS Frontend

A379604 a(n) is the maximum number of items in a bucket for the bucket sort algorithm with input {0, 1, ..., n-1} and B = floor(sqrt(n)) buckets.

Table of values

List of values

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

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

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