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%I #7 Mar 11 2014 01:32:49
%S 4,25,32,121,128,196,225,343,484,1000,1331,1728,2048,2187,2197,2704,
%T 3025,3375,4913,5776,6859,7744,8000,8100,9261,10648,12167,13824,16641,
%U 17424,19683,21904,24389,26896,29791,32768,35721,39204,42849,50625
%N Perfect powers (members of A001597) n where the next larger perfect power is congruent mod 2 to n.
%e 25 (25 = 5^2) are 27 (27 = 3^3) are consecutive perfect powers. Since both are odd, then 25 is in this sequence.
%e 128 (128 = 2^7) and 144 (144 = 12^2) are consecutive perfect powers. Since both are even, then 128 is in this sequence.
%Y Cf. A001597, A175053
%K nonn
%O 1,1
%A _Leroy Quet_, Dec 08 2009
%E Extended by _Ray Chandler_, Dec 10 2009