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A341681 as a simple table

na(n)
00
11
21
310
464
5145
6145
7874
83061
93061
1042427
1142427
12396721
13928162
144116808
154116808
164116808
174116808
18262397134
191037238112
201037238112
218010806914
228010806914
238010806914
24196297164568
25478726701049
262173303919935
272173303919935
282173303919935
2925050096374896
30162310851104662

[0,1,1,10,64,145,145,874,3061,3061,42427,42427,
 396721,928162,4116808,4116808,4116808,4116808,
 262397134,1037238112,1037238112,8010806914,
 8010806914,8010806914,196297164568,478726701049,
 2173303919935,2173303919935,2173303919935,
 25050096374896,162310851104662]