A116155 - cp's OEIS frontend

A116155 Triangle T(n,k) defined by: T(0,0)=1, T(n,k)=0 if k < 0 or k > n, T(n,k) = T(n-1,k-1) + k*T(n-1,k) + Sum_{j>=1} T(n-1,k+j).

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	2
7	3
8	3
9	1
10	7
11	9
12	10
13	6
14	1
15	26
16	33
17	36
18	29
19	10
20	1
21	109
22	135
23	145
24	134
25	70
26	15
27	1
28	500
29	609
30	645
31	633
32	430
33	146
34	21
35	1
36	2485
37	2985
38	3130
39	3142
40	2521
41	1182
42	273
43	28
44	1
45	13262
46	15747
47	16392
48	16561
49	14710
50	8733
51	2849
52	470
53	36
54	1

[1, 0, 1, 1, 1, 1, 2, 3, 3, 1, 7, 9, 10, 6, 1, 26, 33, 36, 29, 10, 1, 109, 135, 145, 134, 70, 15, 1, 500, 609, 645, 633, 430, 146, 21, 1, 2485, 2985, 3130, 3142, 2521, 1182, 273, 28, 1, 13262, 15747, 16392, 16561, 14710, 8733, 2849, 470, 36, 1]

cp's OEIS Frontend

A116155 Triangle T(n,k) defined by: T(0,0)=1, T(n,k)=0 if k < 0 or k > n, T(n,k) = T(n-1,k-1) + k*T(n-1,k) + Sum_{j>=1} T(n-1,k+j).

Table of values

List of values