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A253381 Triangle read by rows: T(n,k) appears in the transformation Sum_{k=0..n} (k+1)*x^k = Sum_{k=0..n} T(n,k)*(x+2k)^k.

Table of values

n a(n)
0 1
1 -3
2 2
3 -3
4 -22
5 3
6 -3
7 122
8 -69
9 4
10 -3
11 -518
12 891
13 -156
14 5
15 -3
16 1882
17 -8709
18 3444
19 -295
20 6
21 -3
22 -6182
23 71931
24 -57036
25 9785
26 -498
27 7
28 -3
29 18906
30 -530181
31 789684
32 -241095
33 23022
34 -777
35 8
36 -3
37 -54822
38 3598587
39 -9661260
40 4919865
41 -783378
42 47607
43 -1144
44 9
45 -3
46 152538
47 -22943493
48 107911860
49 -87977415
50 21896622
51 -2129673
52 89576
53 -1611
54 10

List of values

[1, -3, 2, -3, -22, 3, -3, 122, -69, 4, -3, -518, 891, -156, 5, -3, 1882, -8709, 3444, -295, 6, -3, -6182, 71931, -57036, 9785, -498, 7, -3, 18906, -530181, 789684, -241095, 23022, -777, 8, -3, -54822, 3598587, -9661260, 4919865, -783378, 47607, -1144, 9, -3, 152538, -22943493, 107911860, -87977415, 21896622, -2129673, 89576, -1611, 10]