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A244118 Triangle read by rows: coefficients T(n,k) of a binomial decomposition of 1 as Sum_{k=0..n} T(n,k)*binomial(n,k).

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 -1
5 3
6 0
7 1
8 -6
9 16
10 0
11 -1
12 12
13 -48
14 125
15 0
16 1
17 -24
18 144
19 -500
20 1296
21 0
22 -1
23 48
24 -432
25 2000
26 -6480
27 16807
28 0
29 1
30 -96
31 1296
32 -8000
33 32400
34 -100842
35 262144
36 0
37 -1
38 192
39 -3888
40 32000
41 -162000
42 605052
43 -1835008
44 4782969
45 0
46 1
47 -384
48 11664
49 -128000
50 810000
51 -3630312
52 12845056
53 -38263752
54 100000000

List of values

[1, 0, 1, 0, -1, 3, 0, 1, -6, 16, 0, -1, 12, -48, 125, 0, 1, -24, 144, -500, 1296, 0, -1, 48, -432, 2000, -6480, 16807, 0, 1, -96, 1296, -8000, 32400, -100842, 262144, 0, -1, 192, -3888, 32000, -162000, 605052, -1835008, 4782969, 0, 1, -384, 11664, -128000, 810000, -3630312, 12845056, -38263752, 100000000]