A274228 - cp's OEIS frontend

A274228 Triangle read by rows: T(n,k) (n>=3, 0<=k<=n-3) = number of n-sequences of 0's and 1's with exactly one pair of adjacent 0's and exactly k pairs of adjacent 1's.

n	a(n)
3	2
4	3
5	2
6	4
7	4
8	2
9	5
10	8
11	5
12	2
13	6
14	12
15	12
16	6
17	2
18	7
19	18
20	21
21	16
22	7
23	2
24	8
25	24
26	36
27	32
28	20
29	8
30	2
31	9
32	32
33	54
34	60
35	45
36	24
37	9
38	2
39	10
40	40
41	80
42	100
43	90
44	60
45	28
46	10
47	2
48	11
49	50
50	110
51	160
52	165
53	126
54	77
55	32
56	11
57	2
58	12
59	60
60	150
61	240
62	280
63	252
64	168
65	96
66	36
67	12
68	2
69	13
70	72
71	195
72	350
73	455
74	448
75	364
76	216
77	117
78	40
79	13
80	2

[2, 3, 2, 4, 4, 2, 5, 8, 5, 2, 6, 12, 12, 6, 2, 7, 18, 21, 16, 7, 2, 8, 24, 36, 32, 20, 8, 2, 9, 32, 54, 60, 45, 24, 9, 2, 10, 40, 80, 100, 90, 60, 28, 10, 2, 11, 50, 110, 160, 165, 126, 77, 32, 11, 2, 12, 60, 150, 240, 280, 252, 168, 96, 36, 12, 2, 13, 72, 195, 350, 455, 448, 364, 216, 117, 40, 13, 2]

cp's OEIS Frontend

A274228 Triangle read by rows: T(n,k) (n>=3, 0<=k<=n-3) = number of n-sequences of 0's and 1's with exactly one pair of adjacent 0's and exactly k pairs of adjacent 1's.

Table of values

List of values

n	a(n)
3	2
4	3
5	2
6	4
7	4
8	2
9	5
10	8
11	5
12	2
13	6
14	12
15	12
16	6
17	2
18	7
19	18
20	21
21	16
22	7
23	2
24	8
25	24
26	36
27	32
28	20
29	8
30	2
31	9
32	32
33	54
34	60
35	45
36	24
37	9
38	2
39	10
40	40
41	80
42	100
43	90
44	60
45	28
46	10
47	2
48	11
49	50
50	110
51	160
52	165
53	126
54	77
55	32
56	11
57	2
58	12
59	60
60	150
61	240
62	280
63	252
64	168
65	96
66	36
67	12
68	2
69	13
70	72
71	195
72	350
73	455
74	448
75	364
76	216
77	117
78	40
79	13
80	2

n	a(n)
3	2
4	3
5	2
6	4
7	4
8	2
9	5
10	8
11	5
12	2
13	6
14	12
15	12
16	6
17	2
18	7
19	18
20	21
21	16
22	7
23	2
24	8
25	24
26	36
27	32
28	20
29	8
30	2
31	9
32	32
33	54
34	60
35	45
36	24
37	9
38	2
39	10
40	40
41	80
42	100
43	90
44	60
45	28
46	10
47	2
48	11
49	50
50	110
51	160
52	165
53	126
54	77
55	32
56	11
57	2
58	12
59	60
60	150
61	240
62	280
63	252
64	168
65	96
66	36
67	12
68	2
69	13
70	72
71	195
72	350
73	455
74	448
75	364
76	216
77	117
78	40
79	13
80	2

n	a(n)
3	2
4	3
5	2
6	4
7	4
8	2
9	5
10	8
11	5
12	2
13	6
14	12
15	12
16	6
17	2
18	7
19	18
20	21
21	16
22	7
23	2
24	8
25	24
26	36
27	32
28	20
29	8
30	2
31	9
32	32
33	54
34	60
35	45
36	24
37	9
38	2
39	10
40	40
41	80
42	100
43	90
44	60
45	28
46	10
47	2
48	11
49	50
50	110
51	160
52	165
53	126
54	77
55	32
56	11
57	2
58	12
59	60
60	150
61	240
62	280
63	252
64	168
65	96
66	36
67	12
68	2
69	13
70	72
71	195
72	350
73	455
74	448
75	364
76	216
77	117
78	40
79	13
80	2