A125170 - cp's OEIS frontend

A125170 Binomial transform of an infinite lower triangular matrix with (1,1,2,4,8,...) in every column and the rest zeros. Let the left column = A007051, then for k > 1, T(n,k) = (n-1,k) + (n-1,k-1).

n	a(n)
0	1
1	2
2	1
3	5
4	3
5	1
6	14
7	8
8	4
9	1
10	41
11	22
12	12
13	5
14	1
15	122
16	63
17	34
18	17
19	6
20	1
21	365
22	185
23	97
24	51
25	23
26	7
27	1
28	1094
29	550
30	282
31	148
32	74
33	30
34	8
35	1
36	3281
37	1644
38	832
39	430
40	222
41	104
42	38
43	9
44	1

[1, 2, 1, 5, 3, 1, 14, 8, 4, 1, 41, 22, 12, 5, 1, 122, 63, 34, 17, 6, 1, 365, 185, 97, 51, 23, 7, 1, 1094, 550, 282, 148, 74, 30, 8, 1, 3281, 1644, 832, 430, 222, 104, 38, 9, 1]

cp's OEIS Frontend

A125170 Binomial transform of an infinite lower triangular matrix with (1,1,2,4,8,...) in every column and the rest zeros. Let the left column = A007051, then for k > 1, T(n,k) = (n-1,k) + (n-1,k-1).

Table of values

List of values