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A253384 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+3k)^k.

Table of values

n a(n)
0 1
1 -5
2 2
3 -5
4 -34
5 3
6 -5
7 290
8 -105
9 4
10 -5
11 -1870
12 2055
13 -236
14 5
15 -5
16 10280
17 -30345
18 7864
19 -445
20 6
21 -5
22 -50956
23 377895
24 -196256
25 22235
26 -750
27 7
28 -5
29 234812
30 -4194393
31 4090264
32 -824485
33 52170
34 -1169
35 8
36 -5
37 -1024900
38 42834855
39 -75271592
40 25302875
41 -2669430
42 107695
43 -1720
44 9

List of values

[1, -5, 2, -5, -34, 3, -5, 290, -105, 4, -5, -1870, 2055, -236, 5, -5, 10280, -30345, 7864, -445, 6, -5, -50956, 377895, -196256, 22235, -750, 7, -5, 234812, -4194393, 4090264, -824485, 52170, -1169, 8, -5, -1024900, 42834855, -75271592, 25302875, -2669430, 107695, -1720, 9]