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A139167 Triangle T(n,k) read by rows: the coefficient [x^k] of the polynomial (n-1)! *sum_{i=0..n} Fibonacci(i)*binomial(x,n-i), read by rows, 0<=k

Table of values

n a(n)
1 1
2 1
3 1
4 4
5 1
6 1
7 18
8 11
9 0
10 1
11 120
12 50
13 23
14 -2
15 1
16 960
17 494
18 65
19 45
20 -5
21 1
22 9360
23 4344
24 1354
25 -15
26 85
27 -9
28 1
29 105840
30 51876
31 10444
32 3409
33 -350
34 154
35 -14
36 1
37 1370880
38 653232
39 172444
40 13300
41 8729
42 -1232
43 266
44 -20
45 1
46 19958400
47 9654480
48 2194380
49 483272
50 -13923
51 22449
52 -3150
53 438
54 -27
55 1

List of values

[1, 1, 1, 4, 1, 1, 18, 11, 0, 1, 120, 50, 23, -2, 1, 960, 494, 65, 45, -5, 1, 9360, 4344, 1354, -15, 85, -9, 1, 105840, 51876, 10444, 3409, -350, 154, -14, 1, 1370880, 653232, 172444, 13300, 8729, -1232, 266, -20, 1, 19958400, 9654480, 2194380, 483272, -13923, 22449, -3150, 438, -27, 1]