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A135338 Triangle read by rows: row n gives coefficients C(n,j) for a Sheffer sequence (binomial-type) with raising operator -x { 1 + W[ -exp(-2) * (2+D) ] } where W is the Lambert W multi-valued function.

Table of values

n a(n)
1 1
2 -1
3 1
4 1
5 -3
6 1
7 -2
8 7
9 -6
10 1
11 6
12 -20
13 25
14 -10
15 1
16 -24
17 76
18 -105
19 65
20 -15
21 1
22 120
23 -364
24 511
25 -385
26 140
27 -21
28 1
29 -720
30 2108
31 -2940
32 2401
33 -1120
34 266
35 -28
36 1
37 5040
38 -14328
39 19720
40 -16632
41 8841
42 -2772
43 462
44 -36
45 1
46 -40320
47 111816
48 -151620
49 129340
50 -73605
51 27237
52 -6090
53 750
54 -45
55 1

List of values

[1, -1, 1, 1, -3, 1, -2, 7, -6, 1, 6, -20, 25, -10, 1, -24, 76, -105, 65, -15, 1, 120, -364, 511, -385, 140, -21, 1, -720, 2108, -2940, 2401, -1120, 266, -28, 1, 5040, -14328, 19720, -16632, 8841, -2772, 462, -36, 1, -40320, 111816, -151620, 129340, -73605, 27237, -6090, 750, -45, 1]