A280253 - cp's OEIS frontend

A280253 Expansion of Product_{k>=1} (1 + x^p(k)), where p(k) is the number of partitions of k (A000041).

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	2
8	3
9	2
10	3
11	3
12	3
13	3
14	3
15	4
16	4
17	4
18	5
19	4
20	4
21	5
22	5
23	6
24	5
25	6
26	6
27	6
28	6
29	6
30	7
31	6
32	7
33	8
34	7
35	7
36	8
37	8
38	9
39	8
40	9
41	9
42	9
43	10
44	9
45	11
46	9
47	10
48	12
49	10
50	11
51	11
52	11
53	12
54	11
55	12
56	13
57	13
58	14
59	14
60	14
61	13
62	13
63	15
64	15
65	14
66	15
67	15
68	15
69	15
70	15
71	16
72	16
73	16
74	17
75	17
76	15
77	17
78	19
79	19
80	20
81	19
82	20
83	20
84	19
85	21
86	20
87	20
88	21
89	21
90	22

[1, 1, 1, 2, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 4, 4, 4, 5, 4, 4, 5, 5, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 8, 7, 7, 8, 8, 9, 8, 9, 9, 9, 10, 9, 11, 9, 10, 12, 10, 11, 11, 11, 12, 11, 12, 13, 13, 14, 14, 14, 13, 13, 15, 15, 14, 15, 15, 15, 15, 15, 16, 16, 16, 17, 17, 15, 17, 19, 19, 20, 19, 20, 20, 19, 21, 20, 20, 21, 21, 22]

cp's OEIS Frontend

A280253 Expansion of Product_{k>=1} (1 + x^p(k)), where p(k) is the number of partitions of k (A000041).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	2
8	3
9	2
10	3
11	3
12	3
13	3
14	3
15	4
16	4
17	4
18	5
19	4
20	4
21	5
22	5
23	6
24	5
25	6
26	6
27	6
28	6
29	6
30	7
31	6
32	7
33	8
34	7
35	7
36	8
37	8
38	9
39	8
40	9
41	9
42	9
43	10
44	9
45	11
46	9
47	10
48	12
49	10
50	11
51	11
52	11
53	12
54	11
55	12
56	13
57	13
58	14
59	14
60	14
61	13
62	13
63	15
64	15
65	14
66	15
67	15
68	15
69	15
70	15
71	16
72	16
73	16
74	17
75	17
76	15
77	17
78	19
79	19
80	20
81	19
82	20
83	20
84	19
85	21
86	20
87	20
88	21
89	21
90	22

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	2
8	3
9	2
10	3
11	3
12	3
13	3
14	3
15	4
16	4
17	4
18	5
19	4
20	4
21	5
22	5
23	6
24	5
25	6
26	6
27	6
28	6
29	6
30	7
31	6
32	7
33	8
34	7
35	7
36	8
37	8
38	9
39	8
40	9
41	9
42	9
43	10
44	9
45	11
46	9
47	10
48	12
49	10
50	11
51	11
52	11
53	12
54	11
55	12
56	13
57	13
58	14
59	14
60	14
61	13
62	13
63	15
64	15
65	14
66	15
67	15
68	15
69	15
70	15
71	16
72	16
73	16
74	17
75	17
76	15
77	17
78	19
79	19
80	20
81	19
82	20
83	20
84	19
85	21
86	20
87	20
88	21
89	21
90	22

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	2
8	3
9	2
10	3
11	3
12	3
13	3
14	3
15	4
16	4
17	4
18	5
19	4
20	4
21	5
22	5
23	6
24	5
25	6
26	6
27	6
28	6
29	6
30	7
31	6
32	7
33	8
34	7
35	7
36	8
37	8
38	9
39	8
40	9
41	9
42	9
43	10
44	9
45	11
46	9
47	10
48	12
49	10
50	11
51	11
52	11
53	12
54	11
55	12
56	13
57	13
58	14
59	14
60	14
61	13
62	13
63	15
64	15
65	14
66	15
67	15
68	15
69	15
70	15
71	16
72	16
73	16
74	17
75	17
76	15
77	17
78	19
79	19
80	20
81	19
82	20
83	20
84	19
85	21
86	20
87	20
88	21
89	21
90	22