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A344115 as a simple table

na(n)
11
22
314
45
558
6506
712
8244
94072
1065512
1127
121004
1332708
141048456
1533554312
1658
174066
18262024
1916776856
201073741104
2168719476016
22121
2316342
242096942
25268434616
2634359735848
274398046506064
28562949953416272
29248
3065480
3116776880
324294965616
331099511621056

[1,2,14,5,58,506,12,244,4072,65512,27,1004,32708,
 1048456,33554312,58,4066,262024,16776856,
 1073741104,68719476016,121,16342,2096942,
 268434616,34359735848,4398046506064,
 562949953416272,248,65480,16776880,4294965616,
 1099511621056]