A225542 - cp's OEIS frontend

A225542 Number T(n,k,u) of partitions of an n X k rectangle into integer-sided square parts containing u nodes that are unconnected to any of their neighbors, considering only the number of parts; irregular triangle T(n,k,u), 1 <= k <= n, u >= 0, read by rows.

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

[1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1]

cp's OEIS Frontend

A225542 Number T(n,k,u) of partitions of an n X k rectangle into integer-sided square parts containing u nodes that are unconnected to any of their neighbors, considering only the number of parts; irregular triangle T(n,k,u), 1 <= k <= n, u >= 0, read by rows.

Table of values

List of values

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

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

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