A305736 - cp's OEIS frontend

A305736 Number of integer partitions of n whose greatest common divisor is composite (nonprime and > 1).

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	2
9	1
10	1
11	0
12	4
13	0
14	1
15	1
16	5
17	0
18	4
19	0
20	8
21	1
22	1
23	0
24	14
25	1
26	1
27	3
28	16
29	0
30	10
31	0
32	22
33	1
34	1
35	1
36	41
37	0
38	1
39	1
40	45
41	0
42	18
43	0
44	57
45	9
46	1
47	0
48	94
49	1
50	8
51	1
52	102
53	0
54	38
55	1
56	138
57	1
58	1
59	0
60	221
61	0
62	1
63	17
64	231
65	1
66	59
67	0
68	298
69	1
70	22

[0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 4, 0, 1, 1, 5, 0, 4, 0, 8, 1, 1, 0, 14, 1, 1, 3, 16, 0, 10, 0, 22, 1, 1, 1, 41, 0, 1, 1, 45, 0, 18, 0, 57, 9, 1, 0, 94, 1, 8, 1, 102, 0, 38, 1, 138, 1, 1, 0, 221, 0, 1, 17, 231, 1, 59, 0, 298, 1, 22]

cp's OEIS Frontend

A305736 Number of integer partitions of n whose greatest common divisor is composite (nonprime and > 1).

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	2
9	1
10	1
11	0
12	4
13	0
14	1
15	1
16	5
17	0
18	4
19	0
20	8
21	1
22	1
23	0
24	14
25	1
26	1
27	3
28	16
29	0
30	10
31	0
32	22
33	1
34	1
35	1
36	41
37	0
38	1
39	1
40	45
41	0
42	18
43	0
44	57
45	9
46	1
47	0
48	94
49	1
50	8
51	1
52	102
53	0
54	38
55	1
56	138
57	1
58	1
59	0
60	221
61	0
62	1
63	17
64	231
65	1
66	59
67	0
68	298
69	1
70	22

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	2
9	1
10	1
11	0
12	4
13	0
14	1
15	1
16	5
17	0
18	4
19	0
20	8
21	1
22	1
23	0
24	14
25	1
26	1
27	3
28	16
29	0
30	10
31	0
32	22
33	1
34	1
35	1
36	41
37	0
38	1
39	1
40	45
41	0
42	18
43	0
44	57
45	9
46	1
47	0
48	94
49	1
50	8
51	1
52	102
53	0
54	38
55	1
56	138
57	1
58	1
59	0
60	221
61	0
62	1
63	17
64	231
65	1
66	59
67	0
68	298
69	1
70	22

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	2
9	1
10	1
11	0
12	4
13	0
14	1
15	1
16	5
17	0
18	4
19	0
20	8
21	1
22	1
23	0
24	14
25	1
26	1
27	3
28	16
29	0
30	10
31	0
32	22
33	1
34	1
35	1
36	41
37	0
38	1
39	1
40	45
41	0
42	18
43	0
44	57
45	9
46	1
47	0
48	94
49	1
50	8
51	1
52	102
53	0
54	38
55	1
56	138
57	1
58	1
59	0
60	221
61	0
62	1
63	17
64	231
65	1
66	59
67	0
68	298
69	1
70	22