A229756 - cp's OEIS frontend

A229756 Triangle T(n,k): the number of binary sequences of n zeros and n ones in which the longest run is of length k.

n	a(n)
1	2
2	2
3	4
4	2
5	12
6	6
7	2
8	32
9	28
10	8
11	2
12	82
13	110
14	48
15	10
16	2
17	206
18	408
19	224
20	72
21	12
22	2
23	516
24	1454
25	968
26	378
27	100
28	14
29	2
30	1294
31	5048
32	4016
33	1784
34	578
35	132
36	16
37	2
38	3252
39	17244
40	16202
41	7980
42	2924
43	830
44	168
45	18
46	2
47	8194
48	58290
49	64058
50	34570
51	13810
52	4464
53	1140
54	208
55	20

[2, 2, 4, 2, 12, 6, 2, 32, 28, 8, 2, 82, 110, 48, 10, 2, 206, 408, 224, 72, 12, 2, 516, 1454, 968, 378, 100, 14, 2, 1294, 5048, 4016, 1784, 578, 132, 16, 2, 3252, 17244, 16202, 7980, 2924, 830, 168, 18, 2, 8194, 58290, 64058, 34570, 13810, 4464, 1140, 208, 20]

cp's OEIS Frontend

A229756 Triangle T(n,k): the number of binary sequences of n zeros and n ones in which the longest run is of length k.

Table of values

List of values