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A247236 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+k)^k.

Table of values

n a(n)
0 1
1 -1
2 2
3 -1
4 -10
5 3
6 -1
7 26
8 -33
9 4
10 -1
11 -54
12 207
13 -76
14 5
15 -1
16 96
17 -993
18 824
19 -145
20 6
21 -1
22 -156
23 4047
24 -6736
25 2375
26 -246
27 7
28 -1
29 236
30 -14769
31 46184
32 -28985
33 5634
34 -385
35 8
36 -1
37 -340
38 49743
39 -280408
40 293575
41 -95166
42 11711
43 -568
44 9
45 -1
46 470
47 -157617
48 1556672
49 -2609465
50 1322334
51 -260449
52 22112
53 -801
54 10

List of values

[1, -1, 2, -1, -10, 3, -1, 26, -33, 4, -1, -54, 207, -76, 5, -1, 96, -993, 824, -145, 6, -1, -156, 4047, -6736, 2375, -246, 7, -1, 236, -14769, 46184, -28985, 5634, -385, 8, -1, -340, 49743, -280408, 293575, -95166, 11711, -568, 9, -1, 470, -157617, 1556672, -2609465, 1322334, -260449, 22112, -801, 10]