A348447 - cp's OEIS frontend

A348447 Irregular triangle read by rows: T(n,k) (n >= 0) is the number of ways of selecting k objects from n objects arranged in a circle with no two selected objects having unit separation (i.e. having exactly one object between them).

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	1
9	4
10	4
11	1
12	5
13	5
14	1
15	6
16	9
17	1
18	7
19	14
20	7
21	1
22	8
23	20
24	16
25	4
26	1
27	9
28	27
29	30
30	9
31	1
32	10
33	35
34	50
35	25
36	1
37	11
38	44
39	77
40	55
41	11
42	1
43	12
44	54
45	112
46	105
47	36
48	4
49	1
50	13
51	65
52	156
53	182
54	91
55	13
56	1
57	14
58	77
59	210
60	294
61	196
62	49
63	1
64	15
65	90
66	275
67	450
68	378
69	140
70	15

[1, 1, 1, 1, 2, 1, 1, 3, 1, 4, 4, 1, 5, 5, 1, 6, 9, 1, 7, 14, 7, 1, 8, 20, 16, 4, 1, 9, 27, 30, 9, 1, 10, 35, 50, 25, 1, 11, 44, 77, 55, 11, 1, 12, 54, 112, 105, 36, 4, 1, 13, 65, 156, 182, 91, 13, 1, 14, 77, 210, 294, 196, 49, 1, 15, 90, 275, 450, 378, 140, 15]

cp's OEIS Frontend

A348447 Irregular triangle read by rows: T(n,k) (n >= 0) is the number of ways of selecting k objects from n objects arranged in a circle with no two selected objects having unit separation (i.e. having exactly one object between them).

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	1
9	4
10	4
11	1
12	5
13	5
14	1
15	6
16	9
17	1
18	7
19	14
20	7
21	1
22	8
23	20
24	16
25	4
26	1
27	9
28	27
29	30
30	9
31	1
32	10
33	35
34	50
35	25
36	1
37	11
38	44
39	77
40	55
41	11
42	1
43	12
44	54
45	112
46	105
47	36
48	4
49	1
50	13
51	65
52	156
53	182
54	91
55	13
56	1
57	14
58	77
59	210
60	294
61	196
62	49
63	1
64	15
65	90
66	275
67	450
68	378
69	140
70	15

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	1
9	4
10	4
11	1
12	5
13	5
14	1
15	6
16	9
17	1
18	7
19	14
20	7
21	1
22	8
23	20
24	16
25	4
26	1
27	9
28	27
29	30
30	9
31	1
32	10
33	35
34	50
35	25
36	1
37	11
38	44
39	77
40	55
41	11
42	1
43	12
44	54
45	112
46	105
47	36
48	4
49	1
50	13
51	65
52	156
53	182
54	91
55	13
56	1
57	14
58	77
59	210
60	294
61	196
62	49
63	1
64	15
65	90
66	275
67	450
68	378
69	140
70	15

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	1
9	4
10	4
11	1
12	5
13	5
14	1
15	6
16	9
17	1
18	7
19	14
20	7
21	1
22	8
23	20
24	16
25	4
26	1
27	9
28	27
29	30
30	9
31	1
32	10
33	35
34	50
35	25
36	1
37	11
38	44
39	77
40	55
41	11
42	1
43	12
44	54
45	112
46	105
47	36
48	4
49	1
50	13
51	65
52	156
53	182
54	91
55	13
56	1
57	14
58	77
59	210
60	294
61	196
62	49
63	1
64	15
65	90
66	275
67	450
68	378
69	140
70	15