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A340067 as a simple table

na(n)
23
37
413
531
65
7127
8253
9511
10293
112047
121013
138191
14375
151885
166945
17131071
1821905
19524287
201048573
21202951
221095249
238388607
242180425
252784601
261080599
276046435
2823113817
29536870911
3023884363
312147483647
324294967293
338589934591
34815291441
352654752543
3619022463

[3,7,13,31,5,127,253,511,293,2047,1013,8191,375,
 1885,6945,131071,21905,524287,1048573,202951,
 1095249,8388607,2180425,2784601,1080599,6046435,
 23113817,536870911,23884363,2147483647,4294967293,
 8589934591,815291441,2654752543,19022463]