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A244124 Triangle read by rows: coefficients T(n,k) of a binomial decomposition of 2^n-1 as Sum(k=0..n)T(n,k)*binomial(n,k).

Table of values

n a(n)
0 0
1 0
2 1
3 0
4 2
5 -1
6 0
7 4
8 -3
9 4
10 0
11 8
12 -9
13 16
14 -27
15 0
16 16
17 -27
18 64
19 -135
20 256
21 0
22 32
23 -81
24 256
25 -675
26 1536
27 -3125
28 0
29 64
30 -243
31 1024
32 -3375
33 9216
34 -21875
35 46656
36 0
37 128
38 -729
39 4096
40 -16875
41 55296
42 -153125
43 373248
44 -823543
45 0
46 256
47 -2187
48 16384
49 -84375
50 331776
51 -1071875
52 2985984
53 -7411887
54 16777216

List of values

[0, 0, 1, 0, 2, -1, 0, 4, -3, 4, 0, 8, -9, 16, -27, 0, 16, -27, 64, -135, 256, 0, 32, -81, 256, -675, 1536, -3125, 0, 64, -243, 1024, -3375, 9216, -21875, 46656, 0, 128, -729, 4096, -16875, 55296, -153125, 373248, -823543, 0, 256, -2187, 16384, -84375, 331776, -1071875, 2985984, -7411887, 16777216]