A225678 - cp's OEIS frontend

A225678 Triangle read by rows, T(n,k) = sum_{j=0..n} (-1)^(n+k+j) A(n,j)*C(j,n-k), A(n,j) the Eulerian numbers; n >= 0, k >= 0.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	0
6	0
7	1
8	2
9	-2
10	0
11	1
12	8
13	-8
14	0
15	0
16	1
17	22
18	-6
19	-32
20	16
21	0
22	1
23	52
24	84
25	-272
26	136
27	0
28	0
29	1
30	114
31	606
32	-1168
33	-96
34	816
35	-272
36	0
37	1
38	240
39	2832
40	-2176
41	-8832
42	11904
43	-3968
44	0
45	0
46	1
47	494
48	11122
49	11072
50	-83360
51	71168
52	13312
53	-31744
54	7936
55	0
56	1
57	1004

[1, 0, 1, 0, 1, 0, 0, 1, 2, -2, 0, 1, 8, -8, 0, 0, 1, 22, -6, -32, 16, 0, 1, 52, 84, -272, 136, 0, 0, 1, 114, 606, -1168, -96, 816, -272, 0, 1, 240, 2832, -2176, -8832, 11904, -3968, 0, 0, 1, 494, 11122, 11072, -83360, 71168, 13312, -31744, 7936, 0, 1, 1004]

cp's OEIS Frontend

A225678 Triangle read by rows, T(n,k) = sum_{j=0..n} (-1)^(n+k+j) A(n,j)*C(j,n-k), A(n,j) the Eulerian numbers; n >= 0, k >= 0.

Table of values

List of values