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A188668 Triangle read by rows: row n gives (coefficients * n!) in expansion of pieces k=0..n-1 of the cumulative distribution function for the Irwin-Hall distribution, lowest powers first.

Table of values

n a(n)
1 0
2 1
3 0
4 0
5 1
6 -2
7 4
8 -1
9 0
10 0
11 0
12 1
13 3
14 -9
15 9
16 -2
17 -21
18 27
19 -9
20 1
21 0
22 0
23 0
24 0
25 1
26 -4
27 16
28 -24
29 16
30 -3
31 92
32 -176
33 120
34 -32
35 3
36 -232
37 256
38 -96
39 16
40 -1
41 0
42 0
43 0
44 0
45 0
46 1
47 5
48 -25
49 50
50 -50
51 25
52 -4
53 -315
54 775
55 -750
56 350
57 -75
58 6
59 2115
60 -3275
61 1950
62 -550
63 75
64 -4
65 -3005
66 3125
67 -1250
68 250
69 -25
70 1

List of values

[0, 1, 0, 0, 1, -2, 4, -1, 0, 0, 0, 1, 3, -9, 9, -2, -21, 27, -9, 1, 0, 0, 0, 0, 1, -4, 16, -24, 16, -3, 92, -176, 120, -32, 3, -232, 256, -96, 16, -1, 0, 0, 0, 0, 0, 1, 5, -25, 50, -50, 25, -4, -315, 775, -750, 350, -75, 6, 2115, -3275, 1950, -550, 75, -4, -3005, 3125, -1250, 250, -25, 1]