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A175053
Perfect powers (members of A001597) n where the next larger perfect power is not congruent mod 2 to n.
1
1, 8, 9, 16, 27, 36, 49, 64, 81, 100, 125, 144, 169, 216, 243, 256, 289, 324, 361, 400, 441, 512, 529, 576, 625, 676, 729, 784, 841, 900, 961, 1024, 1089, 1156, 1225, 1296, 1369, 1444, 1521, 1600, 1681, 1764, 1849, 1936, 2025, 2116, 2209, 2304, 2401, 2500
OFFSET
1,2
EXAMPLE
125 (125 = 5^3) and 128 (128 = 2^7) are consecutive perfect powers. Since one of these is odd and the other is even, then 125 is in this sequence.
CROSSREFS
KEYWORD
nonn
AUTHOR
Leroy Quet, Dec 08 2009
EXTENSIONS
Extended by Ray Chandler, Dec 10 2009
STATUS
approved