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A220074 Triangle read by rows giving coefficients T(n,k) of [x^(n-k)] in Sum_{i=0..n} (x-1)^i, 0 <= n <= k.

Table of values

n a(n)
0 1
1 1
2 0
3 1
4 -1
5 1
6 1
7 -2
8 2
9 0
10 1
11 -3
12 4
13 -2
14 1
15 1
16 -4
17 7
18 -6
19 3
20 0
21 1
22 -5
23 11
24 -13
25 9
26 -3
27 1
28 1
29 -6
30 16
31 -24
32 22
33 -12
34 4
35 0
36 1
37 -7
38 22
39 -40
40 46
41 -34
42 16
43 -4
44 1
45 1
46 -8
47 29
48 -62
49 86
50 -80
51 50
52 -20
53 5
54 0
55 1
56 -9
57 37
58 -91
59 148
60 -166
61 130
62 -70
63 25
64 -5
65 1

List of values

[1, 1, 0, 1, -1, 1, 1, -2, 2, 0, 1, -3, 4, -2, 1, 1, -4, 7, -6, 3, 0, 1, -5, 11, -13, 9, -3, 1, 1, -6, 16, -24, 22, -12, 4, 0, 1, -7, 22, -40, 46, -34, 16, -4, 1, 1, -8, 29, -62, 86, -80, 50, -20, 5, 0, 1, -9, 37, -91, 148, -166, 130, -70, 25, -5, 1]