A348445 - cp's OEIS frontend

A348445 Irregular triangle read by rows: T(n,k) (n >= 0) is the number of ways of selecting k objects from n objects arranged on a line 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	2
9	1
10	4
11	4
12	1
13	5
14	7
15	2
16	1
17	6
18	11
19	6
20	1
21	1
22	7
23	16
24	13
25	3
26	1
27	8
28	22
29	24
30	9
31	1
32	9
33	29
34	40
35	22
36	3
37	1
38	10
39	37
40	62
41	46
42	12
43	1
44	1
45	11
46	46
47	91
48	86
49	34
50	4
51	1
52	12
53	56
54	128
55	148
56	80
57	16
58	1
59	13
60	67
61	174
62	239
63	166
64	50
65	4
66	1
67	14
68	79
69	230
70	367
71	314
72	130
73	20
74	1
75	1
76	15
77	92
78	297
79	541
80	553
81	296
82	70
83	5

[1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 4, 4, 1, 5, 7, 2, 1, 6, 11, 6, 1, 1, 7, 16, 13, 3, 1, 8, 22, 24, 9, 1, 9, 29, 40, 22, 3, 1, 10, 37, 62, 46, 12, 1, 1, 11, 46, 91, 86, 34, 4, 1, 12, 56, 128, 148, 80, 16, 1, 13, 67, 174, 239, 166, 50, 4, 1, 14, 79, 230, 367, 314, 130, 20, 1, 1, 15, 92, 297, 541, 553, 296, 70, 5]

cp's OEIS Frontend

A348445 Irregular triangle read by rows: T(n,k) (n >= 0) is the number of ways of selecting k objects from n objects arranged on a line 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	2
9	1
10	4
11	4
12	1
13	5
14	7
15	2
16	1
17	6
18	11
19	6
20	1
21	1
22	7
23	16
24	13
25	3
26	1
27	8
28	22
29	24
30	9
31	1
32	9
33	29
34	40
35	22
36	3
37	1
38	10
39	37
40	62
41	46
42	12
43	1
44	1
45	11
46	46
47	91
48	86
49	34
50	4
51	1
52	12
53	56
54	128
55	148
56	80
57	16
58	1
59	13
60	67
61	174
62	239
63	166
64	50
65	4
66	1
67	14
68	79
69	230
70	367
71	314
72	130
73	20
74	1
75	1
76	15
77	92
78	297
79	541
80	553
81	296
82	70
83	5

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	2
9	1
10	4
11	4
12	1
13	5
14	7
15	2
16	1
17	6
18	11
19	6
20	1
21	1
22	7
23	16
24	13
25	3
26	1
27	8
28	22
29	24
30	9
31	1
32	9
33	29
34	40
35	22
36	3
37	1
38	10
39	37
40	62
41	46
42	12
43	1
44	1
45	11
46	46
47	91
48	86
49	34
50	4
51	1
52	12
53	56
54	128
55	148
56	80
57	16
58	1
59	13
60	67
61	174
62	239
63	166
64	50
65	4
66	1
67	14
68	79
69	230
70	367
71	314
72	130
73	20
74	1
75	1
76	15
77	92
78	297
79	541
80	553
81	296
82	70
83	5

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	2
9	1
10	4
11	4
12	1
13	5
14	7
15	2
16	1
17	6
18	11
19	6
20	1
21	1
22	7
23	16
24	13
25	3
26	1
27	8
28	22
29	24
30	9
31	1
32	9
33	29
34	40
35	22
36	3
37	1
38	10
39	37
40	62
41	46
42	12
43	1
44	1
45	11
46	46
47	91
48	86
49	34
50	4
51	1
52	12
53	56
54	128
55	148
56	80
57	16
58	1
59	13
60	67
61	174
62	239
63	166
64	50
65	4
66	1
67	14
68	79
69	230
70	367
71	314
72	130
73	20
74	1
75	1
76	15
77	92
78	297
79	541
80	553
81	296
82	70
83	5