A325182 - cp's OEIS frontend

A325182 Number of integer partitions of n such that the difference between the length of the minimal square containing and the maximal square contained in the Young diagram is 2.

n	a(n)
0	0
1	0
2	0
3	2
4	2
5	1
6	2
7	4
8	7
9	6
10	5
11	4
12	5
13	9
14	12
15	15
16	14
17	12
18	10
19	9
20	11
21	15
22	21
23	24
24	28
25	26
26	24
27	20
28	18
29	17
30	19
31	25
32	31
33	38
34	42
35	46
36	44
37	41
38	36
39	32
40	29
41	28
42	31
43	37
44	46
45	53
46	62
47	66
48	71
49	68
50	65
51	58
52	53
53	47
54	44
55	43
56	46
57	54
58	63
59	74
60	83
61	93
62	98
63	103
64	100
65	96
66	88
67	81

[0, 0, 0, 2, 2, 1, 2, 4, 7, 6, 5, 4, 5, 9, 12, 15, 14, 12, 10, 9, 11, 15, 21, 24, 28, 26, 24, 20, 18, 17, 19, 25, 31, 38, 42, 46, 44, 41, 36, 32, 29, 28, 31, 37, 46, 53, 62, 66, 71, 68, 65, 58, 53, 47, 44, 43, 46, 54, 63, 74, 83, 93, 98, 103, 100, 96, 88, 81]

cp's OEIS Frontend

A325182 Number of integer partitions of n such that the difference between the length of the minimal square containing and the maximal square contained in the Young diagram is 2.

Table of values

List of values

n	a(n)
0	0
1	0
2	0
3	2
4	2
5	1
6	2
7	4
8	7
9	6
10	5
11	4
12	5
13	9
14	12
15	15
16	14
17	12
18	10
19	9
20	11
21	15
22	21
23	24
24	28
25	26
26	24
27	20
28	18
29	17
30	19
31	25
32	31
33	38
34	42
35	46
36	44
37	41
38	36
39	32
40	29
41	28
42	31
43	37
44	46
45	53
46	62
47	66
48	71
49	68
50	65
51	58
52	53
53	47
54	44
55	43
56	46
57	54
58	63
59	74
60	83
61	93
62	98
63	103
64	100
65	96
66	88
67	81

n	a(n)
0	0
1	0
2	0
3	2
4	2
5	1
6	2
7	4
8	7
9	6
10	5
11	4
12	5
13	9
14	12
15	15
16	14
17	12
18	10
19	9
20	11
21	15
22	21
23	24
24	28
25	26
26	24
27	20
28	18
29	17
30	19
31	25
32	31
33	38
34	42
35	46
36	44
37	41
38	36
39	32
40	29
41	28
42	31
43	37
44	46
45	53
46	62
47	66
48	71
49	68
50	65
51	58
52	53
53	47
54	44
55	43
56	46
57	54
58	63
59	74
60	83
61	93
62	98
63	103
64	100
65	96
66	88
67	81

n	a(n)
0	0
1	0
2	0
3	2
4	2
5	1
6	2
7	4
8	7
9	6
10	5
11	4
12	5
13	9
14	12
15	15
16	14
17	12
18	10
19	9
20	11
21	15
22	21
23	24
24	28
25	26
26	24
27	20
28	18
29	17
30	19
31	25
32	31
33	38
34	42
35	46
36	44
37	41
38	36
39	32
40	29
41	28
42	31
43	37
44	46
45	53
46	62
47	66
48	71
49	68
50	65
51	58
52	53
53	47
54	44
55	43
56	46
57	54
58	63
59	74
60	83
61	93
62	98
63	103
64	100
65	96
66	88
67	81