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A137375 Triangle read by rows, T(n,k) = (-1)^k*{{n,k}} where {{n,k}} are the second-order Stirling set numbers, n>=0, 0<=k<=n/2.

Table of values

n a(n)
0 1
1 0
2 0
3 -1
4 0
5 -1
6 0
7 -1
8 3
9 0
10 -1
11 10
12 0
13 -1
14 25
15 -15
16 0
17 -1
18 56
19 -105
20 0
21 -1
22 119
23 -490
24 105
25 0
26 -1
27 246
28 -1918
29 1260
30 0
31 -1
32 501
33 -6825
34 9450
35 -945
36 0
37 -1
38 1012
39 -22935
40 56980
41 -17325
42 0
43 -1
44 2035
45 -74316
46 302995
47 -190575
48 10395
49 0
50 -1
51 4082
52 -235092

List of values

[1, 0, 0, -1, 0, -1, 0, -1, 3, 0, -1, 10, 0, -1, 25, -15, 0, -1, 56, -105, 0, -1, 119, -490, 105, 0, -1, 246, -1918, 1260, 0, -1, 501, -6825, 9450, -945, 0, -1, 1012, -22935, 56980, -17325, 0, -1, 2035, -74316, 302995, -190575, 10395, 0, -1, 4082, -235092]