A227009 - cp's OEIS frontend

A227009 Irregular triangle read by rows: T(n,k) is the number of partitions of an n X n square lattice into squares that contain k nodes unconnected to any of their neighbors, considering only the number of parts.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	0
7	0
8	1
9	1
10	1
11	1
12	1
13	2
14	0
15	0
16	0
17	0
18	1
19	1
20	1
21	1
22	1
23	2
24	1
25	1
26	1
27	0
28	1
29	0
30	0
31	0
32	0
33	0
34	0
35	1
36	1
37	1
38	1
39	1
40	2
41	2
42	2
43	2
44	3
45	4
46	2
47	2
48	2
49	2
50	1
51	0
52	2
53	0
54	0
55	0
56	0
57	0
58	0
59	0
60	0
61	1
62	1
63	1
64	1
65	1
66	2
67	2
68	2
69	2
70	3
71	4
72	3
73	3
74	4
75	4
76	4
77	3
78	4
79	3
80	2
81	2
82	2
83	2
84	0
85	0
86	0
87	1
88	0
89	0
90	0
91	0
92	0
93	0
94	0
95	0
96	0
97	0
98	1

[1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 3, 3, 4, 4, 4, 3, 4, 3, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

cp's OEIS Frontend

A227009 Irregular triangle read by rows: T(n,k) is the number of partitions of an n X n square lattice into squares that contain k nodes unconnected to any of their neighbors, considering only the number of parts.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	0
7	0
8	1
9	1
10	1
11	1
12	1
13	2
14	0
15	0
16	0
17	0
18	1
19	1
20	1
21	1
22	1
23	2
24	1
25	1
26	1
27	0
28	1
29	0
30	0
31	0
32	0
33	0
34	0
35	1
36	1
37	1
38	1
39	1
40	2
41	2
42	2
43	2
44	3
45	4
46	2
47	2
48	2
49	2
50	1
51	0
52	2
53	0
54	0
55	0
56	0
57	0
58	0
59	0
60	0
61	1
62	1
63	1
64	1
65	1
66	2
67	2
68	2
69	2
70	3
71	4
72	3
73	3
74	4
75	4
76	4
77	3
78	4
79	3
80	2
81	2
82	2
83	2
84	0
85	0
86	0
87	1
88	0
89	0
90	0
91	0
92	0
93	0
94	0
95	0
96	0
97	0
98	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	0
7	0
8	1
9	1
10	1
11	1
12	1
13	2
14	0
15	0
16	0
17	0
18	1
19	1
20	1
21	1
22	1
23	2
24	1
25	1
26	1
27	0
28	1
29	0
30	0
31	0
32	0
33	0
34	0
35	1
36	1
37	1
38	1
39	1
40	2
41	2
42	2
43	2
44	3
45	4
46	2
47	2
48	2
49	2
50	1
51	0
52	2
53	0
54	0
55	0
56	0
57	0
58	0
59	0
60	0
61	1
62	1
63	1
64	1
65	1
66	2
67	2
68	2
69	2
70	3
71	4
72	3
73	3
74	4
75	4
76	4
77	3
78	4
79	3
80	2
81	2
82	2
83	2
84	0
85	0
86	0
87	1
88	0
89	0
90	0
91	0
92	0
93	0
94	0
95	0
96	0
97	0
98	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	0
7	0
8	1
9	1
10	1
11	1
12	1
13	2
14	0
15	0
16	0
17	0
18	1
19	1
20	1
21	1
22	1
23	2
24	1
25	1
26	1
27	0
28	1
29	0
30	0
31	0
32	0
33	0
34	0
35	1
36	1
37	1
38	1
39	1
40	2
41	2
42	2
43	2
44	3
45	4
46	2
47	2
48	2
49	2
50	1
51	0
52	2
53	0
54	0
55	0
56	0
57	0
58	0
59	0
60	0
61	1
62	1
63	1
64	1
65	1
66	2
67	2
68	2
69	2
70	3
71	4
72	3
73	3
74	4
75	4
76	4
77	3
78	4
79	3
80	2
81	2
82	2
83	2
84	0
85	0
86	0
87	1
88	0
89	0
90	0
91	0
92	0
93	0
94	0
95	0
96	0
97	0
98	1