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A038316 as a simple table

na(n)
01
111
22
3121
444
54
61331
7726
8132
98
1014641
1110648
122904
13352
1416
15161051
16146410
1753240
189680
19880
2032
211771561
221932612
23878460
24212960
2529040
262112
2764
2819487171
2924801854
3013528284
314099480
32745360
3381312
344928
35128
36214358881

[1,11,2,121,44,4,1331,726,132,8,14641,10648,2904,
 352,16,161051,146410,53240,9680,880,32,1771561,
 1932612,878460,212960,29040,2112,64,19487171,
 24801854,13528284,4099480,745360,81312,4928,128,
 214358881]