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A168296 Worpitzky form polynomials for the {1,16,1} A142462 sequence: p(x,n) = Sum_{k=1..n} A(n, k)*binomial(x + k - 1, n - 1).

Table of values

n a(n)
1 1
2 1
3 2
4 2
5 18
6 18
7 6
8 156
9 432
10 288
11 24
12 792
13 7416
14 13248
15 6624
16 120
17 -11280
18 64800
19 374400
20 496800
21 198720
22 720
23 -62640
24 -1254960
25 4968000
26 20865600
27 22057920
28 7352640
29 5040
30 24012000
31 -11854080
32 -125677440
33 389491200
34 1288103040
35 1132306560
36 323516160

List of values

[1, 1, 2, 2, 18, 18, 6, 156, 432, 288, 24, 792, 7416, 13248, 6624, 120, -11280, 64800, 374400, 496800, 198720, 720, -62640, -1254960, 4968000, 20865600, 22057920, 7352640, 5040, 24012000, -11854080, -125677440, 389491200, 1288103040, 1132306560, 323516160]