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A249266 Triangle read by rows: T(n,k) is the coefficient A_k in the transformation Sum_{k=0..n} x^k = Sum_{k=0..n} A_k*(x+2*(-1)^k)^k.

Table of values

n a(n)
0 1
1 3
2 1
3 -9
4 -3
5 1
6 -97
7 -39
8 7
9 1
10 815
11 313
12 -65
13 -7
14 1
15 12367
16 4873
17 -945
18 -127
19 11
20 1
21 -164465
22 -64439
23 12735
24 1633
25 -169
26 -11
27 1
28 -3314673
29 -1302263
30 255327
31 33553
32 -3249
33 -263
34 15
35 1
36 60873999
37 23899401
38 -4695969
39 -613359
40 60591
41 4665
42 -321
43 -15
44 1

List of values

[1, 3, 1, -9, -3, 1, -97, -39, 7, 1, 815, 313, -65, -7, 1, 12367, 4873, -945, -127, 11, 1, -164465, -64439, 12735, 1633, -169, -11, 1, -3314673, -1302263, 255327, 33553, -3249, -263, 15, 1, 60873999, 23899401, -4695969, -613359, 60591, 4665, -321, -15, 1]