A182309 - cp's OEIS frontend

A182309 Triangle T(n,k) with 2 <= k <= floor(2(n+1)/3) gives the number of length-n binary sequences with exactly k zeros and with length two for the longest run of zeros.

n	a(n)
2	1
3	2
4	3
5	2
6	4
7	6
8	1
9	5
10	12
11	6
12	6
13	20
14	18
15	3
16	7
17	30
18	40
19	16
20	1
21	8
22	42
23	75
24	50
25	10
26	9
27	56
28	126
29	120
30	45
31	4
32	10
33	72
34	196
35	245
36	140
37	30
38	1
39	11
40	90
41	288
42	448
43	350
44	126
45	15
46	12
47	110
48	405
49	756
50	756
51	392
52	90
53	5
54	13
55	132
56	550
57	1200
58	1470
59	1008
60	357
61	50
62	1
63	14
64	156
65	726

[1, 2, 3, 2, 4, 6, 1, 5, 12, 6, 6, 20, 18, 3, 7, 30, 40, 16, 1, 8, 42, 75, 50, 10, 9, 56, 126, 120, 45, 4, 10, 72, 196, 245, 140, 30, 1, 11, 90, 288, 448, 350, 126, 15, 12, 110, 405, 756, 756, 392, 90, 5, 13, 132, 550, 1200, 1470, 1008, 357, 50, 1, 14, 156, 726]

cp's OEIS Frontend

A182309 Triangle T(n,k) with 2 <= k <= floor(2(n+1)/3) gives the number of length-n binary sequences with exactly k zeros and with length two for the longest run of zeros.

Table of values

List of values