A316432 - cp's OEIS frontend

A316432 Number of integer partitions of n whose length is equal to the GCD of all parts.

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

[1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 3, 2, 3, 0, 5, 0, 3, 4, 5, 0, 8, 1, 6, 6, 6, 0, 11, 0, 8, 10, 8, 2, 18, 0, 9, 14, 15, 0, 19, 0, 16, 21, 11, 0, 34, 1, 16, 24, 24, 0, 30, 10, 27, 30, 14, 0, 71, 0, 15, 34, 38, 18, 47, 0, 47, 44, 36, 0, 88, 0, 18, 79, 63, 5]

cp's OEIS Frontend

A316432 Number of integer partitions of n whose length is equal to the GCD of all parts.

Table of values

List of values

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

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

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