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A343255 as a simple table

na(n)
00
11
22
34
4256
53126
646662
7823551
8134217728
93486784402
10100000000010
113138428376733
12115909305827328
134240251492291543
14166680102383370254
157006302246093750016

[0,1,2,4,256,3126,46662,823551,134217728,
 3486784402,100000000010,3138428376733,
 115909305827328,4240251492291543,
 166680102383370254,7006302246093750016]