A318586 - cp's OEIS frontend

A318586 Number of integer partitions of n whose sum of reciprocals squared is the reciprocal of an integer.

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

[1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 3, 1, 2, 3, 3, 1, 4, 1, 3, 1, 2, 1, 5, 2, 1, 4, 5, 1, 5, 1, 6, 3, 2, 4, 8, 2, 4, 2, 6, 3, 9, 2, 4, 7, 5, 4, 11, 8, 7, 8, 9, 5, 12, 5, 16, 5, 10, 5, 25, 10, 9, 13, 18, 12, 18, 6, 11, 14, 22, 9, 24, 11, 21, 22, 25, 24, 23, 28, 32]

cp's OEIS Frontend

A318586 Number of integer partitions of n whose sum of reciprocals squared is the reciprocal of an integer.

Table of values

List of values

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

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

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