A288772 - cp's OEIS frontend

A288772 a(n) is the minimum number of rows from the table described in A286000 that are required to represent the partitions of all positive integers <= n into consecutive parts.

n	a(n)
1	1
2	2
3	4
4	4
5	6
6	8
7	8
8	8
9	11
10	13
11	13
12	14
13	14
14	17
15	19
16	19
17	19
18	21
19	21
20	24
21	26
22	26
23	26
24	26
25	29
26	29
27	32
28	34
29	34
30	34
31	34
32	34
33	38
34	38
35	41
36	43
37	43
38	43
39	44
40	44
41	44
42	48
43	48
44	51
45	53
46	53
47	53
48	53
49	55
50	55
51	56
52	59
53	59
54	62
55	64
56	64
57	64
58	64
59	64
60	67
61	67
62	67
63	71
64	71
65	74
66	76
67	76
68	76
69	76
70	76
71	76
72	80
73	80
74	80
75	84
76	84
77	87
78	89
79	89
80	89
81	89

[1, 2, 4, 4, 6, 8, 8, 8, 11, 13, 13, 14, 14, 17, 19, 19, 19, 21, 21, 24, 26, 26, 26, 26, 29, 29, 32, 34, 34, 34, 34, 34, 38, 38, 41, 43, 43, 43, 44, 44, 44, 48, 48, 51, 53, 53, 53, 53, 55, 55, 56, 59, 59, 62, 64, 64, 64, 64, 64, 67, 67, 67, 71, 71, 74, 76, 76, 76, 76, 76, 76, 80, 80, 80, 84, 84, 87, 89, 89, 89, 89]

cp's OEIS Frontend

A288772 a(n) is the minimum number of rows from the table described in A286000 that are required to represent the partitions of all positive integers <= n into consecutive parts.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	4
5	6
6	8
7	8
8	8
9	11
10	13
11	13
12	14
13	14
14	17
15	19
16	19
17	19
18	21
19	21
20	24
21	26
22	26
23	26
24	26
25	29
26	29
27	32
28	34
29	34
30	34
31	34
32	34
33	38
34	38
35	41
36	43
37	43
38	43
39	44
40	44
41	44
42	48
43	48
44	51
45	53
46	53
47	53
48	53
49	55
50	55
51	56
52	59
53	59
54	62
55	64
56	64
57	64
58	64
59	64
60	67
61	67
62	67
63	71
64	71
65	74
66	76
67	76
68	76
69	76
70	76
71	76
72	80
73	80
74	80
75	84
76	84
77	87
78	89
79	89
80	89
81	89

n	a(n)
1	1
2	2
3	4
4	4
5	6
6	8
7	8
8	8
9	11
10	13
11	13
12	14
13	14
14	17
15	19
16	19
17	19
18	21
19	21
20	24
21	26
22	26
23	26
24	26
25	29
26	29
27	32
28	34
29	34
30	34
31	34
32	34
33	38
34	38
35	41
36	43
37	43
38	43
39	44
40	44
41	44
42	48
43	48
44	51
45	53
46	53
47	53
48	53
49	55
50	55
51	56
52	59
53	59
54	62
55	64
56	64
57	64
58	64
59	64
60	67
61	67
62	67
63	71
64	71
65	74
66	76
67	76
68	76
69	76
70	76
71	76
72	80
73	80
74	80
75	84
76	84
77	87
78	89
79	89
80	89
81	89

n	a(n)
1	1
2	2
3	4
4	4
5	6
6	8
7	8
8	8
9	11
10	13
11	13
12	14
13	14
14	17
15	19
16	19
17	19
18	21
19	21
20	24
21	26
22	26
23	26
24	26
25	29
26	29
27	32
28	34
29	34
30	34
31	34
32	34
33	38
34	38
35	41
36	43
37	43
38	43
39	44
40	44
41	44
42	48
43	48
44	51
45	53
46	53
47	53
48	53
49	55
50	55
51	56
52	59
53	59
54	62
55	64
56	64
57	64
58	64
59	64
60	67
61	67
62	67
63	71
64	71
65	74
66	76
67	76
68	76
69	76
70	76
71	76
72	80
73	80
74	80
75	84
76	84
77	87
78	89
79	89
80	89
81	89