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Smallest nontrivial positive power x such that the number of odd powers (i.e., odd base) not exceeding x exceeds by n the number of even powers not exceeding x.
1

%I #14 Jul 16 2017 20:19:40

%S 1,5041,1601613,1221611509,355183455415293

%N Smallest nontrivial positive power x such that the number of odd powers (i.e., odd base) not exceeding x exceeds by n the number of even powers not exceeding x.

%e a(3)=1601613 because there are 699 odd powers not larger than 1601613, and 696 even powers not larger than 1601613, and 699 - 696 = 3.

%Y Cf. A200729.

%K nonn

%O 1,2

%A _Graeme McRae_, Nov 21 2011