A100522 - cp's OEIS frontend

A100522 Number of partitions of n into parts free of both odd squares and even numbers which are not squares, the odd parts they occur with a single multiplicity, there is no restriction on the even parts.

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	1
6	0
7	2
8	2
9	1
10	1
11	3
12	3
13	2
14	2
15	5
16	6
17	3
18	5
19	8
20	9
21	7
22	8
23	13
24	14
25	10
26	14
27	19
28	20
29	17
30	20
31	29
32	30
33	26
34	32
35	42
36	45
37	41
38	47
39	63
40	64
41	60
42	70
43	88
44	91
45	87
46	99
47	124
48	128
49	123
50	143
51	172
52	179
53	176
54	200
55	240
56	246
57	246
58	279
59	325
60	337
61	338
62	381
63	440
64	456
65	461
66	519
67	590
68	615

[1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 3, 3, 2, 2, 5, 6, 3, 5, 8, 9, 7, 8, 13, 14, 10, 14, 19, 20, 17, 20, 29, 30, 26, 32, 42, 45, 41, 47, 63, 64, 60, 70, 88, 91, 87, 99, 124, 128, 123, 143, 172, 179, 176, 200, 240, 246, 246, 279, 325, 337, 338, 381, 440, 456, 461, 519, 590, 615]

cp's OEIS Frontend

A100522 Number of partitions of n into parts free of both odd squares and even numbers which are not squares, the odd parts they occur with a single multiplicity, there is no restriction on the even parts.

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	1
6	0
7	2
8	2
9	1
10	1
11	3
12	3
13	2
14	2
15	5
16	6
17	3
18	5
19	8
20	9
21	7
22	8
23	13
24	14
25	10
26	14
27	19
28	20
29	17
30	20
31	29
32	30
33	26
34	32
35	42
36	45
37	41
38	47
39	63
40	64
41	60
42	70
43	88
44	91
45	87
46	99
47	124
48	128
49	123
50	143
51	172
52	179
53	176
54	200
55	240
56	246
57	246
58	279
59	325
60	337
61	338
62	381
63	440
64	456
65	461
66	519
67	590
68	615

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	1
6	0
7	2
8	2
9	1
10	1
11	3
12	3
13	2
14	2
15	5
16	6
17	3
18	5
19	8
20	9
21	7
22	8
23	13
24	14
25	10
26	14
27	19
28	20
29	17
30	20
31	29
32	30
33	26
34	32
35	42
36	45
37	41
38	47
39	63
40	64
41	60
42	70
43	88
44	91
45	87
46	99
47	124
48	128
49	123
50	143
51	172
52	179
53	176
54	200
55	240
56	246
57	246
58	279
59	325
60	337
61	338
62	381
63	440
64	456
65	461
66	519
67	590
68	615

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	1
6	0
7	2
8	2
9	1
10	1
11	3
12	3
13	2
14	2
15	5
16	6
17	3
18	5
19	8
20	9
21	7
22	8
23	13
24	14
25	10
26	14
27	19
28	20
29	17
30	20
31	29
32	30
33	26
34	32
35	42
36	45
37	41
38	47
39	63
40	64
41	60
42	70
43	88
44	91
45	87
46	99
47	124
48	128
49	123
50	143
51	172
52	179
53	176
54	200
55	240
56	246
57	246
58	279
59	325
60	337
61	338
62	381
63	440
64	456
65	461
66	519
67	590
68	615