A334892 - cp's OEIS frontend

A334892 Number T(n,k) of k-element subsets of [n] avoiding 3-term arithmetic progressions and containing n if n>0; triangle T(n,k), n>=0, 0<=k<=A003002(n), read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	1
11	3
12	2
13	0
14	1
15	4
16	4
17	1
18	0
19	1
20	5
21	8
22	3
23	0
24	1
25	6
26	12
27	6
28	0
29	1
30	7
31	18
32	15
33	0
34	1
35	8
36	24
37	26
38	4
39	0
40	1
41	9
42	32
43	47
44	20
45	0
46	1
47	10
48	40
49	67
50	40
51	7
52	0
53	1
54	11
55	50
56	102
57	80
58	18
59	0
60	1
61	12
62	60
63	140
64	140
65	53
66	6
67	0
68	1
69	13
70	72
71	194
72	236
73	110
74	16
75	1

[1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 3, 2, 0, 1, 4, 4, 1, 0, 1, 5, 8, 3, 0, 1, 6, 12, 6, 0, 1, 7, 18, 15, 0, 1, 8, 24, 26, 4, 0, 1, 9, 32, 47, 20, 0, 1, 10, 40, 67, 40, 7, 0, 1, 11, 50, 102, 80, 18, 0, 1, 12, 60, 140, 140, 53, 6, 0, 1, 13, 72, 194, 236, 110, 16, 1]

cp's OEIS Frontend

A334892 Number T(n,k) of k-element subsets of [n] avoiding 3-term arithmetic progressions and containing n if n>0; triangle T(n,k), n>=0, 0<=k<=A003002(n), read by rows.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	1
11	3
12	2
13	0
14	1
15	4
16	4
17	1
18	0
19	1
20	5
21	8
22	3
23	0
24	1
25	6
26	12
27	6
28	0
29	1
30	7
31	18
32	15
33	0
34	1
35	8
36	24
37	26
38	4
39	0
40	1
41	9
42	32
43	47
44	20
45	0
46	1
47	10
48	40
49	67
50	40
51	7
52	0
53	1
54	11
55	50
56	102
57	80
58	18
59	0
60	1
61	12
62	60
63	140
64	140
65	53
66	6
67	0
68	1
69	13
70	72
71	194
72	236
73	110
74	16
75	1

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	1
11	3
12	2
13	0
14	1
15	4
16	4
17	1
18	0
19	1
20	5
21	8
22	3
23	0
24	1
25	6
26	12
27	6
28	0
29	1
30	7
31	18
32	15
33	0
34	1
35	8
36	24
37	26
38	4
39	0
40	1
41	9
42	32
43	47
44	20
45	0
46	1
47	10
48	40
49	67
50	40
51	7
52	0
53	1
54	11
55	50
56	102
57	80
58	18
59	0
60	1
61	12
62	60
63	140
64	140
65	53
66	6
67	0
68	1
69	13
70	72
71	194
72	236
73	110
74	16
75	1

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	0
10	1
11	3
12	2
13	0
14	1
15	4
16	4
17	1
18	0
19	1
20	5
21	8
22	3
23	0
24	1
25	6
26	12
27	6
28	0
29	1
30	7
31	18
32	15
33	0
34	1
35	8
36	24
37	26
38	4
39	0
40	1
41	9
42	32
43	47
44	20
45	0
46	1
47	10
48	40
49	67
50	40
51	7
52	0
53	1
54	11
55	50
56	102
57	80
58	18
59	0
60	1
61	12
62	60
63	140
64	140
65	53
66	6
67	0
68	1
69	13
70	72
71	194
72	236
73	110
74	16
75	1