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A253383 Triangle read by rows: T(n,k) is the coefficient A_k in the transformation Sum_{k=0..n} (k+1)*x^k = Sum_{k=0..n} A_k*(x-3k)^k.

Table of values

n a(n)
0 1
1 7
2 2
3 7
4 38
5 3
6 7
7 362
8 111
9 4
10 7
11 2522
12 2271
13 244
14 5
15 7
16 14672
17 34671
18 8344
19 455
20 6
21 7
22 75908
23 442911
24 212464
25 23135
26 762
27 7
28 7
29 361676
30 5015199
31 4498984
32 869855
33 53682
34 1183
35 8
36 7
37 1621388
38 52044447
39 83860840
40 26997215
41 2775282
42 110047
43 1736
44 9
45 7
46 6935798
47 505540767
48 1423092160
49 732435935
50 117592782
51 7458367
52 205856
53 2439
54 10

List of values

[1, 7, 2, 7, 38, 3, 7, 362, 111, 4, 7, 2522, 2271, 244, 5, 7, 14672, 34671, 8344, 455, 6, 7, 75908, 442911, 212464, 23135, 762, 7, 7, 361676, 5015199, 4498984, 869855, 53682, 1183, 8, 7, 1621388, 52044447, 83860840, 26997215, 2775282, 110047, 1736, 9, 7, 6935798, 505540767, 1423092160, 732435935, 117592782, 7458367, 205856, 2439, 10]