A064576 - cp's OEIS frontend

A064576 First differences of A064573, where A064573(n) is the number of partitions of n into parts which are all powers of the same prime.

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	1
7	4
8	2
9	5
10	1
11	8
12	1
13	7
14	3
15	10
16	1
17	13
18	1
19	15
20	4
21	15
22	1
23	23
24	2
25	21
26	5
27	27
28	1
29	33
30	1
31	36
32	6
33	37
34	3
35	53
36	1
37	47
38	8
39	62
40	1
41	68
42	1
43	75
44	11
45	75
46	1
47	103
48	2
49	97
50	10
51	115
52	1
53	126
54	4
55	142
56	13
57	141
58	1
59	181
60	1
61	167
62	17
63	202
64	4
65	218
66	1
67	239
68	16
69	243
70	1
71	302
72	1
73	285
74	22
75	331
76	3
77	349

[1, 1, 2, 1, 3, 1, 4, 2, 5, 1, 8, 1, 7, 3, 10, 1, 13, 1, 15, 4, 15, 1, 23, 2, 21, 5, 27, 1, 33, 1, 36, 6, 37, 3, 53, 1, 47, 8, 62, 1, 68, 1, 75, 11, 75, 1, 103, 2, 97, 10, 115, 1, 126, 4, 142, 13, 141, 1, 181, 1, 167, 17, 202, 4, 218, 1, 239, 16, 243, 1, 302, 1, 285, 22, 331, 3, 349]

cp's OEIS Frontend

A064576 First differences of A064573, where A064573(n) is the number of partitions of n into parts which are all powers of the same prime.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	1
7	4
8	2
9	5
10	1
11	8
12	1
13	7
14	3
15	10
16	1
17	13
18	1
19	15
20	4
21	15
22	1
23	23
24	2
25	21
26	5
27	27
28	1
29	33
30	1
31	36
32	6
33	37
34	3
35	53
36	1
37	47
38	8
39	62
40	1
41	68
42	1
43	75
44	11
45	75
46	1
47	103
48	2
49	97
50	10
51	115
52	1
53	126
54	4
55	142
56	13
57	141
58	1
59	181
60	1
61	167
62	17
63	202
64	4
65	218
66	1
67	239
68	16
69	243
70	1
71	302
72	1
73	285
74	22
75	331
76	3
77	349

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	1
7	4
8	2
9	5
10	1
11	8
12	1
13	7
14	3
15	10
16	1
17	13
18	1
19	15
20	4
21	15
22	1
23	23
24	2
25	21
26	5
27	27
28	1
29	33
30	1
31	36
32	6
33	37
34	3
35	53
36	1
37	47
38	8
39	62
40	1
41	68
42	1
43	75
44	11
45	75
46	1
47	103
48	2
49	97
50	10
51	115
52	1
53	126
54	4
55	142
56	13
57	141
58	1
59	181
60	1
61	167
62	17
63	202
64	4
65	218
66	1
67	239
68	16
69	243
70	1
71	302
72	1
73	285
74	22
75	331
76	3
77	349

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	1
7	4
8	2
9	5
10	1
11	8
12	1
13	7
14	3
15	10
16	1
17	13
18	1
19	15
20	4
21	15
22	1
23	23
24	2
25	21
26	5
27	27
28	1
29	33
30	1
31	36
32	6
33	37
34	3
35	53
36	1
37	47
38	8
39	62
40	1
41	68
42	1
43	75
44	11
45	75
46	1
47	103
48	2
49	97
50	10
51	115
52	1
53	126
54	4
55	142
56	13
57	141
58	1
59	181
60	1
61	167
62	17
63	202
64	4
65	218
66	1
67	239
68	16
69	243
70	1
71	302
72	1
73	285
74	22
75	331
76	3
77	349