A132085 - cp's OEIS frontend

A132085 Number of partitions of n into distinct parts such that (u+1)^2 <= v for all pairs (u,v) of parts with u

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	2
8	2
9	2
10	2
11	3
12	3
13	3
14	3
15	3
16	3
17	3
18	3
19	4
20	4
21	4
22	4
23	4
24	4
25	4
26	4
27	4
28	4
29	5
30	6
31	6
32	6
33	6
34	6
35	6
36	6
37	6
38	6
39	6
40	6
41	7
42	8
43	8
44	8
45	8
46	8
47	8
48	8
49	8
50	8
51	8
52	8
53	8
54	8
55	9
56	10
57	10
58	10
59	10
60	10
61	10
62	10
63	10
64	10
65	10
66	10
67	10
68	10
69	10
70	10
71	11
72	12
73	12
74	12
75	12
76	12
77	12
78	12
79	12
80	12
81	12
82	12
83	12
84	12
85	12
86	12
87	12
88	12

[1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]

cp's OEIS Frontend

A132085 Number of partitions of n into distinct parts such that (u+1)^2 <= v for all pairs (u,v) of parts with u

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	2
8	2
9	2
10	2
11	3
12	3
13	3
14	3
15	3
16	3
17	3
18	3
19	4
20	4
21	4
22	4
23	4
24	4
25	4
26	4
27	4
28	4
29	5
30	6
31	6
32	6
33	6
34	6
35	6
36	6
37	6
38	6
39	6
40	6
41	7
42	8
43	8
44	8
45	8
46	8
47	8
48	8
49	8
50	8
51	8
52	8
53	8
54	8
55	9
56	10
57	10
58	10
59	10
60	10
61	10
62	10
63	10
64	10
65	10
66	10
67	10
68	10
69	10
70	10
71	11
72	12
73	12
74	12
75	12
76	12
77	12
78	12
79	12
80	12
81	12
82	12
83	12
84	12
85	12
86	12
87	12
88	12

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	2
8	2
9	2
10	2
11	3
12	3
13	3
14	3
15	3
16	3
17	3
18	3
19	4
20	4
21	4
22	4
23	4
24	4
25	4
26	4
27	4
28	4
29	5
30	6
31	6
32	6
33	6
34	6
35	6
36	6
37	6
38	6
39	6
40	6
41	7
42	8
43	8
44	8
45	8
46	8
47	8
48	8
49	8
50	8
51	8
52	8
53	8
54	8
55	9
56	10
57	10
58	10
59	10
60	10
61	10
62	10
63	10
64	10
65	10
66	10
67	10
68	10
69	10
70	10
71	11
72	12
73	12
74	12
75	12
76	12
77	12
78	12
79	12
80	12
81	12
82	12
83	12
84	12
85	12
86	12
87	12
88	12

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	2
8	2
9	2
10	2
11	3
12	3
13	3
14	3
15	3
16	3
17	3
18	3
19	4
20	4
21	4
22	4
23	4
24	4
25	4
26	4
27	4
28	4
29	5
30	6
31	6
32	6
33	6
34	6
35	6
36	6
37	6
38	6
39	6
40	6
41	7
42	8
43	8
44	8
45	8
46	8
47	8
48	8
49	8
50	8
51	8
52	8
53	8
54	8
55	9
56	10
57	10
58	10
59	10
60	10
61	10
62	10
63	10
64	10
65	10
66	10
67	10
68	10
69	10
70	10
71	11
72	12
73	12
74	12
75	12
76	12
77	12
78	12
79	12
80	12
81	12
82	12
83	12
84	12
85	12
86	12
87	12
88	12