A360072 - cp's OEIS frontend

A360072 Number of pairs of positive integers (k,i) such that k >= i and there exists an integer partition of n of length k with i distinct parts.

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	5
6	9
7	9
8	13
9	14
10	18
11	19
12	26
13	25
14	30
15	34
16	39
17	40
18	48
19	48
20	56
21	59
22	64
23	67
24	78
25	78
26	84
27	89
28	97
29	99
30	111
31	111
32	121
33	125
34	131
35	137
36	149
37	149
38	158
39	165
40	176
41	177
42	190
43	191
44	202
45	210
46	216
47	222
48	238
49	239
50	250
51	256
52	266
53	270
54	284
55	289
56	302
57	307
58	316
59	323

[0, 1, 2, 3, 5, 5, 9, 9, 13, 14, 18, 19, 26, 25, 30, 34, 39, 40, 48, 48, 56, 59, 64, 67, 78, 78, 84, 89, 97, 99, 111, 111, 121, 125, 131, 137, 149, 149, 158, 165, 176, 177, 190, 191, 202, 210, 216, 222, 238, 239, 250, 256, 266, 270, 284, 289, 302, 307, 316, 323]

cp's OEIS Frontend

A360072 Number of pairs of positive integers (k,i) such that k >= i and there exists an integer partition of n of length k with i distinct parts.

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	5
6	9
7	9
8	13
9	14
10	18
11	19
12	26
13	25
14	30
15	34
16	39
17	40
18	48
19	48
20	56
21	59
22	64
23	67
24	78
25	78
26	84
27	89
28	97
29	99
30	111
31	111
32	121
33	125
34	131
35	137
36	149
37	149
38	158
39	165
40	176
41	177
42	190
43	191
44	202
45	210
46	216
47	222
48	238
49	239
50	250
51	256
52	266
53	270
54	284
55	289
56	302
57	307
58	316
59	323

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	5
6	9
7	9
8	13
9	14
10	18
11	19
12	26
13	25
14	30
15	34
16	39
17	40
18	48
19	48
20	56
21	59
22	64
23	67
24	78
25	78
26	84
27	89
28	97
29	99
30	111
31	111
32	121
33	125
34	131
35	137
36	149
37	149
38	158
39	165
40	176
41	177
42	190
43	191
44	202
45	210
46	216
47	222
48	238
49	239
50	250
51	256
52	266
53	270
54	284
55	289
56	302
57	307
58	316
59	323

n	a(n)
0	0
1	1
2	2
3	3
4	5
5	5
6	9
7	9
8	13
9	14
10	18
11	19
12	26
13	25
14	30
15	34
16	39
17	40
18	48
19	48
20	56
21	59
22	64
23	67
24	78
25	78
26	84
27	89
28	97
29	99
30	111
31	111
32	121
33	125
34	131
35	137
36	149
37	149
38	158
39	165
40	176
41	177
42	190
43	191
44	202
45	210
46	216
47	222
48	238
49	239
50	250
51	256
52	266
53	270
54	284
55	289
56	302
57	307
58	316
59	323