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A343088 as a simple table

na(n)
01
10
21
30
40
53
60
70
81
916
100
110
120
1315
14125
150
160
170
186
19222
201296
210
220
230
241
25205
263660
2716807
280
290
300
310
32120
335700
3468295
35262144
360
370
380
390
4045
416165
42156555
431436568
444782969
450
460
470
480
4910
504945
51258125
524483360
5333779340
54100000000

[1,0,1,0,0,3,0,0,1,16,0,0,0,15,125,0,0,0,6,222,
 1296,0,0,0,1,205,3660,16807,0,0,0,0,120,5700,
 68295,262144,0,0,0,0,45,6165,156555,1436568,
 4782969,0,0,0,0,10,4945,258125,4483360,33779340,
 100000000]