A367783 - cp's OEIS frontend

A367783 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 shifts.

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

[0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 4, 0, 6, 0, 6, 0, 11, 0, 12, 8, 7, 0, 6, 0, 8, 0, 18, 0, 32, 0, 20, 0, 29, 0, 42, 8, 67, 16, 30, 0, 13, 0, 22, 0, 32, 0, 42, 0, 64, 0, 50, 0, 64]

cp's OEIS Frontend

A367783 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 shifts.

Table of values

List of values

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

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

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