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A101842 Triangle read by rows: T(n,k), for k=-n..n-1, is the scaled (by 2^n n!) probability that the sum of n uniform [-1, 1] variables is between k and k+1.

Table of values

n a(n)
1 1
2 1
3 1
4 3
5 3
6 1
7 1
8 7
9 16
10 16
11 7
12 1
13 1
14 15
15 61
16 115
17 115
18 61
19 15
20 1
21 1
22 31
23 206
24 626
25 1056
26 1056
27 626
28 206
29 31
30 1
31 1
32 63
33 659
34 2989
35 7554
36 11774
37 11774
38 7554
39 2989
40 659
41 63
42 1
43 1
44 127
45 2052
46 13308
47 47349
48 105099
49 154624
50 154624
51 105099
52 47349
53 13308
54 2052
55 127
56 1
57 1
58 255
59 6297
60 56935
61 274677

List of values

[1, 1, 1, 3, 3, 1, 1, 7, 16, 16, 7, 1, 1, 15, 61, 115, 115, 61, 15, 1, 1, 31, 206, 626, 1056, 1056, 626, 206, 31, 1, 1, 63, 659, 2989, 7554, 11774, 11774, 7554, 2989, 659, 63, 1, 1, 127, 2052, 13308, 47349, 105099, 154624, 154624, 105099, 47349, 13308, 2052, 127, 1, 1, 255, 6297, 56935, 274677]