A338664 - cp's OEIS frontend

A338664 a(n) is the number of ways that n square tiles can be formed into two rectangles, such that those rectangles fit orthogonally into the minimal bounding square that can contain n such tiles, without overlap.

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

[0, 1, 1, 1, 2, 2, 2, 1, 1, 4, 2, 4, 2, 2, 1, 2, 4, 4, 4, 4, 3, 2, 2, 1, 2, 6, 5, 6, 2, 7, 2, 3, 2, 2, 1, 3, 6, 6, 6, 5, 4, 6, 4, 2, 3, 2, 2, 1, 3, 8, 4, 10, 4, 6, 3, 9, 2, 4, 2, 3, 2, 2, 1, 4, 5, 10, 6, 6, 8, 4, 4, 9, 4, 2]

cp's OEIS Frontend

A338664 a(n) is the number of ways that n square tiles can be formed into two rectangles, such that those rectangles fit orthogonally into the minimal bounding square that can contain n such tiles, without overlap.

Table of values

List of values

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

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

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