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A139158 Triangle a(n,k) of the expansion coefficients of the Hermite polynomial 2*H(n/2,x) if n even, of H((n-1)/2,x)+H((n+1)/2,x) if n odd.

Table of values

n a(n)
0 2
1 1
2 2
3 0
4 4
5 -2
6 2
7 4
8 -4
9 0
10 8
11 -2
12 -12
13 4
14 8
15 0
16 -24
17 0
18 16
19 12
20 -12
21 -48
22 8
23 16
24 24
25 0
26 -96
27 0
28 32
29 12
30 120
31 -48
32 -160
33 16
34 32
35 0
36 240
37 0
38 -320
39 0
40 64
41 -120
42 120
43 720
44 -160
45 -480
46 32
47 64
48 -240
49 0
50 1440
51 0
52 -960
53 0
54 128
55 -120
56 -1680
57 720
58 3360
59 -480
60 -1344
61 64
62 128
63 0
64 -3360
65 0
66 6720
67 0
68 -2688

List of values

[2, 1, 2, 0, 4, -2, 2, 4, -4, 0, 8, -2, -12, 4, 8, 0, -24, 0, 16, 12, -12, -48, 8, 16, 24, 0, -96, 0, 32, 12, 120, -48, -160, 16, 32, 0, 240, 0, -320, 0, 64, -120, 120, 720, -160, -480, 32, 64, -240, 0, 1440, 0, -960, 0, 128, -120, -1680, 720, 3360, -480, -1344, 64, 128, 0, -3360, 0, 6720, 0, -2688]