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A271698 Triangle read by rows, T(n,k) = Sum_{j=0..n} C(-j,-n)*E1(j,k), E1 the Eulerian numbers A173018, for n>=0 and 0<=k<=n.

Table of values

n a(n)
0 1
1 1
2 0
3 0
4 1
5 0
6 0
7 2
8 1
9 0
10 0
11 2
12 8
13 1
14 0
15 0
16 2
17 28
18 22
19 1
20 0
21 0
22 2
23 72
24 182
25 52
26 1
27 0
28 0
29 2
30 164
31 974
32 864
33 114
34 1
35 0
36 0
37 2
38 352
39 4174
40 8444
41 3474
42 240
43 1
44 0
45 0
46 2
47 732
48 15782
49 61464
50 57194
51 12660
52 494
53 1
54 0
55 0
56 2
57 1496
58 55286
59 373940
60 660842
61 332528
62 43358
63 1004
64 1
65 0

List of values

[1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 8, 1, 0, 0, 2, 28, 22, 1, 0, 0, 2, 72, 182, 52, 1, 0, 0, 2, 164, 974, 864, 114, 1, 0, 0, 2, 352, 4174, 8444, 3474, 240, 1, 0, 0, 2, 732, 15782, 61464, 57194, 12660, 494, 1, 0, 0, 2, 1496, 55286, 373940, 660842, 332528, 43358, 1004, 1, 0]