A366568 - cp's OEIS frontend

A366568 P(n,n+2k-2) are the numerators of the probability that a gambler with initial capital n goes bankrupt exactly at round n+2k-2, randomly losing or winning 1 unit of money in each round, written as lower triangle T(n,k), n>=1, 1<=k<=n.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	3
9	5
10	5
11	1
12	1
13	9
14	7
15	7
16	1
17	5
18	7
19	7
20	21
21	21
22	1
23	3
24	5
25	3
26	45
27	33
28	33
29	1
30	7
31	27
32	75
33	165
34	297
35	429
36	429
37	1
38	1
39	35
40	55
41	275
42	143
43	1001
44	715
45	715
46	1
47	9
48	11
49	77
50	429
51	1001
52	1001
53	429
54	2431
55	2431

[1, 1, 1, 1, 1, 1, 1, 3, 5, 5, 1, 1, 9, 7, 7, 1, 5, 7, 7, 21, 21, 1, 3, 5, 3, 45, 33, 33, 1, 7, 27, 75, 165, 297, 429, 429, 1, 1, 35, 55, 275, 143, 1001, 715, 715, 1, 9, 11, 77, 429, 1001, 1001, 429, 2431, 2431]

cp's OEIS Frontend

A366568 P(n,n+2k-2) are the numerators of the probability that a gambler with initial capital n goes bankrupt exactly at round n+2k-2, randomly losing or winning 1 unit of money in each round, written as lower triangle T(n,k), n>=1, 1<=k<=n.

Table of values

List of values