A104276 - cp's OEIS frontend

A104276 Number of partitions of n in which both even and odd squares occur with multiplicity 1. There is no restriction on the parts which are twice even squares.

n	a(n)
0	1
1	1
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	2
10	1
11	0
12	1
13	2
14	1
15	0
16	2
17	3
18	1
19	0
20	2
21	3
22	1
23	0
24	2
25	5
26	3
27	0
28	2
29	5
30	3
31	0
32	3
33	6
34	4
35	1
36	4
37	7
38	4
39	1
40	4
41	9
42	6
43	1
44	4
45	10
46	7
47	1
48	5
49	12
50	9
51	2
52	6
53	13
54	9
55	2
56	6
57	15
58	12
59	3
60	6
61	17
62	14
63	3
64	8
65	20
66	16
67	4
68	9
69	21
70	17
71	5
72	10
73	25
74	22
75	7
76	10
77	27
78	24
79	7
80	12
81	32
82	28
83	9
84	14
85	34
86	30
87	10
88	15
89	39
90	37

[1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 3, 1, 0, 2, 3, 1, 0, 2, 5, 3, 0, 2, 5, 3, 0, 3, 6, 4, 1, 4, 7, 4, 1, 4, 9, 6, 1, 4, 10, 7, 1, 5, 12, 9, 2, 6, 13, 9, 2, 6, 15, 12, 3, 6, 17, 14, 3, 8, 20, 16, 4, 9, 21, 17, 5, 10, 25, 22, 7, 10, 27, 24, 7, 12, 32, 28, 9, 14, 34, 30, 10, 15, 39, 37]

cp's OEIS Frontend

A104276 Number of partitions of n in which both even and odd squares occur with multiplicity 1. There is no restriction on the parts which are twice even squares.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	2
10	1
11	0
12	1
13	2
14	1
15	0
16	2
17	3
18	1
19	0
20	2
21	3
22	1
23	0
24	2
25	5
26	3
27	0
28	2
29	5
30	3
31	0
32	3
33	6
34	4
35	1
36	4
37	7
38	4
39	1
40	4
41	9
42	6
43	1
44	4
45	10
46	7
47	1
48	5
49	12
50	9
51	2
52	6
53	13
54	9
55	2
56	6
57	15
58	12
59	3
60	6
61	17
62	14
63	3
64	8
65	20
66	16
67	4
68	9
69	21
70	17
71	5
72	10
73	25
74	22
75	7
76	10
77	27
78	24
79	7
80	12
81	32
82	28
83	9
84	14
85	34
86	30
87	10
88	15
89	39
90	37

n	a(n)
0	1
1	1
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	2
10	1
11	0
12	1
13	2
14	1
15	0
16	2
17	3
18	1
19	0
20	2
21	3
22	1
23	0
24	2
25	5
26	3
27	0
28	2
29	5
30	3
31	0
32	3
33	6
34	4
35	1
36	4
37	7
38	4
39	1
40	4
41	9
42	6
43	1
44	4
45	10
46	7
47	1
48	5
49	12
50	9
51	2
52	6
53	13
54	9
55	2
56	6
57	15
58	12
59	3
60	6
61	17
62	14
63	3
64	8
65	20
66	16
67	4
68	9
69	21
70	17
71	5
72	10
73	25
74	22
75	7
76	10
77	27
78	24
79	7
80	12
81	32
82	28
83	9
84	14
85	34
86	30
87	10
88	15
89	39
90	37

n	a(n)
0	1
1	1
2	0
3	0
4	1
5	1
6	0
7	0
8	1
9	2
10	1
11	0
12	1
13	2
14	1
15	0
16	2
17	3
18	1
19	0
20	2
21	3
22	1
23	0
24	2
25	5
26	3
27	0
28	2
29	5
30	3
31	0
32	3
33	6
34	4
35	1
36	4
37	7
38	4
39	1
40	4
41	9
42	6
43	1
44	4
45	10
46	7
47	1
48	5
49	12
50	9
51	2
52	6
53	13
54	9
55	2
56	6
57	15
58	12
59	3
60	6
61	17
62	14
63	3
64	8
65	20
66	16
67	4
68	9
69	21
70	17
71	5
72	10
73	25
74	22
75	7
76	10
77	27
78	24
79	7
80	12
81	32
82	28
83	9
84	14
85	34
86	30
87	10
88	15
89	39
90	37