A375576 - cp's OEIS frontend

A375576 a(n) is the number of partitions n = x + y + z of positive integers such that xyz is a perfect square.

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

[0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 4, 1, 2, 3, 2, 2, 4, 2, 4, 3, 4, 2, 5, 4, 2, 6, 5, 2, 8, 4, 8, 4, 4, 5, 10, 5, 3, 8, 7, 6, 12, 5, 6, 7, 6, 7, 11, 5, 6, 8, 12, 6, 11, 8, 11, 11, 6, 3, 22, 6, 12, 12, 8, 9, 13, 12, 7, 14, 14, 6, 18, 7, 7, 18, 13, 14, 13, 7, 19, 10]

cp's OEIS Frontend

A375576 a(n) is the number of partitions n = x + y + z of positive integers such that xyz is a perfect square.

Table of values

List of values

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

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

cp's OEIS Frontend

A375576 a(n) is the number of partitions n = x + y + z of positive integers such that x*y*z is a perfect square.

Table of values

List of values

A375576 a(n) is the number of partitions n = x + y + z of positive integers such that xyz is a perfect square.

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