A325192 - cp's OEIS frontend

A325192 Regular triangle read by rows where T(n,k) is the 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 k.

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

[1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 2, 0, 0, 2, 4, 3, 2, 2, 2, 0, 0, 1, 7, 4, 4, 2, 2, 2, 0, 1, 0, 6, 8, 5, 4, 2, 2, 2, 0, 0, 2, 5, 11, 8, 6, 4, 2, 2, 2, 0, 0, 3, 4, 12, 12, 9, 6, 4, 2, 2, 2, 0, 0, 4, 5, 13, 17, 12, 10, 6, 4, 2, 2, 2, 0]

cp's OEIS Frontend

A325192 Regular triangle read by rows where T(n,k) is the 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 k.

Table of values

List of values

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

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

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