A334187 - cp's OEIS frontend

A334187 Number T(n,k) of k-element subsets of [n] avoiding 3-term arithmetic progressions; triangle T(n,k), n>=0, 0<=k<=A003002(n), read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	4
11	6
12	2
13	1
14	5
15	10
16	6
17	1
18	1
19	6
20	15
21	14
22	4
23	1
24	7
25	21
26	26
27	10
28	1
29	8
30	28
31	44
32	25
33	1
34	9
35	36
36	68
37	51
38	4
39	1
40	10
41	45
42	100
43	98
44	24
45	1
46	11
47	55
48	140
49	165
50	64
51	7
52	1
53	12
54	66
55	190
56	267
57	144
58	25
59	1
60	13
61	78
62	250
63	407
64	284
65	78
66	6
67	1
68	14
69	91
70	322
71	601
72	520
73	188
74	22
75	1

[1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 4, 6, 2, 1, 5, 10, 6, 1, 1, 6, 15, 14, 4, 1, 7, 21, 26, 10, 1, 8, 28, 44, 25, 1, 9, 36, 68, 51, 4, 1, 10, 45, 100, 98, 24, 1, 11, 55, 140, 165, 64, 7, 1, 12, 66, 190, 267, 144, 25, 1, 13, 78, 250, 407, 284, 78, 6, 1, 14, 91, 322, 601, 520, 188, 22, 1]

cp's OEIS Frontend

A334187 Number T(n,k) of k-element subsets of [n] avoiding 3-term arithmetic progressions; 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	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	4
11	6
12	2
13	1
14	5
15	10
16	6
17	1
18	1
19	6
20	15
21	14
22	4
23	1
24	7
25	21
26	26
27	10
28	1
29	8
30	28
31	44
32	25
33	1
34	9
35	36
36	68
37	51
38	4
39	1
40	10
41	45
42	100
43	98
44	24
45	1
46	11
47	55
48	140
49	165
50	64
51	7
52	1
53	12
54	66
55	190
56	267
57	144
58	25
59	1
60	13
61	78
62	250
63	407
64	284
65	78
66	6
67	1
68	14
69	91
70	322
71	601
72	520
73	188
74	22
75	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	4
11	6
12	2
13	1
14	5
15	10
16	6
17	1
18	1
19	6
20	15
21	14
22	4
23	1
24	7
25	21
26	26
27	10
28	1
29	8
30	28
31	44
32	25
33	1
34	9
35	36
36	68
37	51
38	4
39	1
40	10
41	45
42	100
43	98
44	24
45	1
46	11
47	55
48	140
49	165
50	64
51	7
52	1
53	12
54	66
55	190
56	267
57	144
58	25
59	1
60	13
61	78
62	250
63	407
64	284
65	78
66	6
67	1
68	14
69	91
70	322
71	601
72	520
73	188
74	22
75	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	4
11	6
12	2
13	1
14	5
15	10
16	6
17	1
18	1
19	6
20	15
21	14
22	4
23	1
24	7
25	21
26	26
27	10
28	1
29	8
30	28
31	44
32	25
33	1
34	9
35	36
36	68
37	51
38	4
39	1
40	10
41	45
42	100
43	98
44	24
45	1
46	11
47	55
48	140
49	165
50	64
51	7
52	1
53	12
54	66
55	190
56	267
57	144
58	25
59	1
60	13
61	78
62	250
63	407
64	284
65	78
66	6
67	1
68	14
69	91
70	322
71	601
72	520
73	188
74	22
75	1