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A253668 as a simple table

na(n)
00
10
21
30
41
5-1
60
71
81
92
100
111
123
13-1
14-6
150
161
175
182
192
2024
210
221
237
2411
25-2
26-6
27-120
280
291
309
3126
326
334
3424
35720
360
371
3811
3947
4050
41-6
42-12
43-120
44-5040
450
461
4713
4874
49154
5024
5112
5248
53720
5440320
550
561
5715
58107
59342
60274
61-24
62-36
63-240
64-5040
65-362880

[0,0,1,0,1,-1,0,1,1,2,0,1,3,-1,-6,0,1,5,2,2,24,0,
 1,7,11,-2,-6,-120,0,1,9,26,6,4,24,720,0,1,11,47,
 50,-6,-12,-120,-5040,0,1,13,74,154,24,12,48,720,
 40320,0,1,15,107,342,274,-24,-36,-240,-5040,
 -362880]