A369382 - cp's OEIS frontend

A369382 Number of subsets of the integer lattice Z^2 of cardinality n such that there is no monotone lattice path which splits the set in half, up to lattice symmetry.

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

[0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 4, 0, 4, 1, 3, 0, 2, 0, 3, 0, 6, 0, 10, 0, 6, 0, 9, 0, 12, 1, 18, 2, 9, 0, 5, 0, 7, 0, 8, 0, 12, 0, 18, 0, 14, 0, 17]

cp's OEIS Frontend

A369382 Number of subsets of the integer lattice Z^2 of cardinality n such that there is no monotone lattice path which splits the set in half, up to lattice symmetry.

Table of values

List of values

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

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

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