A379957 - cp's OEIS frontend

A379957 Number of partitions of n where the smallest part is a divisor d > 1 of n, and the other parts are positive powers of that divisor.

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	4
7	1
8	4
9	2
10	6
11	1
12	9
13	1
14	8
15	4
16	9
17	1
18	15
19	1
20	15
21	5
22	16
23	1
24	23
25	2
26	22
27	5
28	25
29	1
30	37
31	1
32	31
33	7
34	38
35	4
36	49
37	1
38	48
39	9
40	55
41	1
42	73
43	1
44	66
45	12
46	76
47	1
48	93
49	2
50	99
51	11
52	101
53	1
54	129
55	5
56	124
57	14
58	142
59	1
60	167
61	1
62	168
63	17
64	174
65	5
66	223
67	1
68	211
69	17
70	247
71	1
72	269
73	1
74	286
75	24
76	293
77	4
78	355
79	1
80	347
81	21
82	392
83	1
84	432
85	6
86	452
87	25

[0, 1, 1, 2, 1, 4, 1, 4, 2, 6, 1, 9, 1, 8, 4, 9, 1, 15, 1, 15, 5, 16, 1, 23, 2, 22, 5, 25, 1, 37, 1, 31, 7, 38, 4, 49, 1, 48, 9, 55, 1, 73, 1, 66, 12, 76, 1, 93, 2, 99, 11, 101, 1, 129, 5, 124, 14, 142, 1, 167, 1, 168, 17, 174, 5, 223, 1, 211, 17, 247, 1, 269, 1, 286, 24, 293, 4, 355, 1, 347, 21, 392, 1, 432, 6, 452, 25]

cp's OEIS Frontend

A379957 Number of partitions of n where the smallest part is a divisor d > 1 of n, and the other parts are positive powers of that divisor.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	4
7	1
8	4
9	2
10	6
11	1
12	9
13	1
14	8
15	4
16	9
17	1
18	15
19	1
20	15
21	5
22	16
23	1
24	23
25	2
26	22
27	5
28	25
29	1
30	37
31	1
32	31
33	7
34	38
35	4
36	49
37	1
38	48
39	9
40	55
41	1
42	73
43	1
44	66
45	12
46	76
47	1
48	93
49	2
50	99
51	11
52	101
53	1
54	129
55	5
56	124
57	14
58	142
59	1
60	167
61	1
62	168
63	17
64	174
65	5
66	223
67	1
68	211
69	17
70	247
71	1
72	269
73	1
74	286
75	24
76	293
77	4
78	355
79	1
80	347
81	21
82	392
83	1
84	432
85	6
86	452
87	25

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	4
7	1
8	4
9	2
10	6
11	1
12	9
13	1
14	8
15	4
16	9
17	1
18	15
19	1
20	15
21	5
22	16
23	1
24	23
25	2
26	22
27	5
28	25
29	1
30	37
31	1
32	31
33	7
34	38
35	4
36	49
37	1
38	48
39	9
40	55
41	1
42	73
43	1
44	66
45	12
46	76
47	1
48	93
49	2
50	99
51	11
52	101
53	1
54	129
55	5
56	124
57	14
58	142
59	1
60	167
61	1
62	168
63	17
64	174
65	5
66	223
67	1
68	211
69	17
70	247
71	1
72	269
73	1
74	286
75	24
76	293
77	4
78	355
79	1
80	347
81	21
82	392
83	1
84	432
85	6
86	452
87	25

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	4
7	1
8	4
9	2
10	6
11	1
12	9
13	1
14	8
15	4
16	9
17	1
18	15
19	1
20	15
21	5
22	16
23	1
24	23
25	2
26	22
27	5
28	25
29	1
30	37
31	1
32	31
33	7
34	38
35	4
36	49
37	1
38	48
39	9
40	55
41	1
42	73
43	1
44	66
45	12
46	76
47	1
48	93
49	2
50	99
51	11
52	101
53	1
54	129
55	5
56	124
57	14
58	142
59	1
60	167
61	1
62	168
63	17
64	174
65	5
66	223
67	1
68	211
69	17
70	247
71	1
72	269
73	1
74	286
75	24
76	293
77	4
78	355
79	1
80	347
81	21
82	392
83	1
84	432
85	6
86	452
87	25