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A116419 as a simple table

na(n)
01
11
27
33
431
53
6127
785
8511
993
102047
11105
128191
135461
1432767
153855
16131071
171533
18524287
1969905
20299593
21182361
228388607
231118481
2433554431
2522369621
2619173961
279256395
28536870911
2911545611
302147483647
311431655765
328589934591

[1,1,7,3,31,3,127,85,511,93,2047,105,8191,5461,
 32767,3855,131071,1533,524287,69905,299593,182361,
 8388607,1118481,33554431,22369621,19173961,
 9256395,536870911,11545611,2147483647,1431655765,
 8589934591]