A090723 - cp's OEIS frontend

A090723 a(1) = 1; for n > 1, number of partitions of n into distinct odd parts such that the two largest parts differ by 2.

n	a(n)
1	1
2	0
3	0
4	1
5	0
6	0
7	0
8	1
9	1
10	0
11	0
12	1
13	1
14	0
15	1
16	2
17	1
18	0
19	1
20	2
21	2
22	1
23	1
24	3
25	3
26	1
27	2
28	4
29	3
30	2
31	3
32	5
33	5
34	3
35	4
36	7
37	6
38	4
39	6
40	9
41	8
42	6
43	8
44	11
45	11
46	9
47	10
48	15
49	15
50	11
51	14
52	19
53	18
54	16
55	19
56	24
57	24
58	21
59	24
60	31
61	31
62	27
63	32
64	40
65	39
66	36
67	41
68	49
69	50
70	47
71	52
72	63
73	64
74	59
75	67
76	79
77	79
78	77
79	85
80	98
81	101
82	97
83	106

[1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 3, 3, 1, 2, 4, 3, 2, 3, 5, 5, 3, 4, 7, 6, 4, 6, 9, 8, 6, 8, 11, 11, 9, 10, 15, 15, 11, 14, 19, 18, 16, 19, 24, 24, 21, 24, 31, 31, 27, 32, 40, 39, 36, 41, 49, 50, 47, 52, 63, 64, 59, 67, 79, 79, 77, 85, 98, 101, 97, 106]

cp's OEIS Frontend

A090723 a(1) = 1; for n > 1, number of partitions of n into distinct odd parts such that the two largest parts differ by 2.

Table of values

List of values

n	a(n)
1	1
2	0
3	0
4	1
5	0
6	0
7	0
8	1
9	1
10	0
11	0
12	1
13	1
14	0
15	1
16	2
17	1
18	0
19	1
20	2
21	2
22	1
23	1
24	3
25	3
26	1
27	2
28	4
29	3
30	2
31	3
32	5
33	5
34	3
35	4
36	7
37	6
38	4
39	6
40	9
41	8
42	6
43	8
44	11
45	11
46	9
47	10
48	15
49	15
50	11
51	14
52	19
53	18
54	16
55	19
56	24
57	24
58	21
59	24
60	31
61	31
62	27
63	32
64	40
65	39
66	36
67	41
68	49
69	50
70	47
71	52
72	63
73	64
74	59
75	67
76	79
77	79
78	77
79	85
80	98
81	101
82	97
83	106

n	a(n)
1	1
2	0
3	0
4	1
5	0
6	0
7	0
8	1
9	1
10	0
11	0
12	1
13	1
14	0
15	1
16	2
17	1
18	0
19	1
20	2
21	2
22	1
23	1
24	3
25	3
26	1
27	2
28	4
29	3
30	2
31	3
32	5
33	5
34	3
35	4
36	7
37	6
38	4
39	6
40	9
41	8
42	6
43	8
44	11
45	11
46	9
47	10
48	15
49	15
50	11
51	14
52	19
53	18
54	16
55	19
56	24
57	24
58	21
59	24
60	31
61	31
62	27
63	32
64	40
65	39
66	36
67	41
68	49
69	50
70	47
71	52
72	63
73	64
74	59
75	67
76	79
77	79
78	77
79	85
80	98
81	101
82	97
83	106

n	a(n)
1	1
2	0
3	0
4	1
5	0
6	0
7	0
8	1
9	1
10	0
11	0
12	1
13	1
14	0
15	1
16	2
17	1
18	0
19	1
20	2
21	2
22	1
23	1
24	3
25	3
26	1
27	2
28	4
29	3
30	2
31	3
32	5
33	5
34	3
35	4
36	7
37	6
38	4
39	6
40	9
41	8
42	6
43	8
44	11
45	11
46	9
47	10
48	15
49	15
50	11
51	14
52	19
53	18
54	16
55	19
56	24
57	24
58	21
59	24
60	31
61	31
62	27
63	32
64	40
65	39
66	36
67	41
68	49
69	50
70	47
71	52
72	63
73	64
74	59
75	67
76	79
77	79
78	77
79	85
80	98
81	101
82	97
83	106