A230505 - cp's OEIS frontend

A230505 T(n,k,s) is the number of parts of each size in the set of partitions of an n X k rectangle into integer-sided squares with side s, considering only the list of parts; irregular triangle T(n,k,s), n >= k >= s >= 1, read by rows.

n	a(n)
1	1
2	2
3	4
4	1
5	3
6	8
7	1
8	14
9	1
10	1
11	4
12	12
13	3
14	27
15	3
16	1
17	47
18	10
19	1
20	1
21	5
22	18
23	3
24	41
25	4
26	2
27	85
28	13
29	3
30	1
31	134
32	16
33	4
34	1
35	1
36	6
37	24
38	6
39	62
40	7
41	4
42	135
43	27
44	5
45	3
46	250
47	40
48	13
49	3
50	1
51	415
52	82
53	24
54	6
55	1
56	1
57	7
58	32
59	6
60	87
61	9
62	5
63	204
64	34
65	8
66	4
67	381
68	53
69	18
70	5
71	3
72	717
73	127
74	45
75	13
76	4
77	1

[1, 2, 4, 1, 3, 8, 1, 14, 1, 1, 4, 12, 3, 27, 3, 1, 47, 10, 1, 1, 5, 18, 3, 41, 4, 2, 85, 13, 3, 1, 134, 16, 4, 1, 1, 6, 24, 6, 62, 7, 4, 135, 27, 5, 3, 250, 40, 13, 3, 1, 415, 82, 24, 6, 1, 1, 7, 32, 6, 87, 9, 5, 204, 34, 8, 4, 381, 53, 18, 5, 3, 717, 127, 45, 13, 4, 1]

cp's OEIS Frontend

A230505 T(n,k,s) is the number of parts of each size in the set of partitions of an n X k rectangle into integer-sided squares with side s, considering only the list of parts; irregular triangle T(n,k,s), n >= k >= s >= 1, read by rows.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	1
5	3
6	8
7	1
8	14
9	1
10	1
11	4
12	12
13	3
14	27
15	3
16	1
17	47
18	10
19	1
20	1
21	5
22	18
23	3
24	41
25	4
26	2
27	85
28	13
29	3
30	1
31	134
32	16
33	4
34	1
35	1
36	6
37	24
38	6
39	62
40	7
41	4
42	135
43	27
44	5
45	3
46	250
47	40
48	13
49	3
50	1
51	415
52	82
53	24
54	6
55	1
56	1
57	7
58	32
59	6
60	87
61	9
62	5
63	204
64	34
65	8
66	4
67	381
68	53
69	18
70	5
71	3
72	717
73	127
74	45
75	13
76	4
77	1

n	a(n)
1	1
2	2
3	4
4	1
5	3
6	8
7	1
8	14
9	1
10	1
11	4
12	12
13	3
14	27
15	3
16	1
17	47
18	10
19	1
20	1
21	5
22	18
23	3
24	41
25	4
26	2
27	85
28	13
29	3
30	1
31	134
32	16
33	4
34	1
35	1
36	6
37	24
38	6
39	62
40	7
41	4
42	135
43	27
44	5
45	3
46	250
47	40
48	13
49	3
50	1
51	415
52	82
53	24
54	6
55	1
56	1
57	7
58	32
59	6
60	87
61	9
62	5
63	204
64	34
65	8
66	4
67	381
68	53
69	18
70	5
71	3
72	717
73	127
74	45
75	13
76	4
77	1

n	a(n)
1	1
2	2
3	4
4	1
5	3
6	8
7	1
8	14
9	1
10	1
11	4
12	12
13	3
14	27
15	3
16	1
17	47
18	10
19	1
20	1
21	5
22	18
23	3
24	41
25	4
26	2
27	85
28	13
29	3
30	1
31	134
32	16
33	4
34	1
35	1
36	6
37	24
38	6
39	62
40	7
41	4
42	135
43	27
44	5
45	3
46	250
47	40
48	13
49	3
50	1
51	415
52	82
53	24
54	6
55	1
56	1
57	7
58	32
59	6
60	87
61	9
62	5
63	204
64	34
65	8
66	4
67	381
68	53
69	18
70	5
71	3
72	717
73	127
74	45
75	13
76	4
77	1