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A338931 as a simple table

na(n)
02
12
22
32
42
554
6162
78310407949893763072
846438023168
965229815808
10396718580736
11629856
12152461794335880672662217818112

[2,2,2,2,2,54,162,8310407949893763072,46438023168,
 65229815808,396718580736,629856,
 152461794335880672662217818112]