A175052 Perfect powers (members of A001597) n where the next larger perfect power is congruent mod 2 to n.

4, 25, 32, 121, 128, 196, 225, 343, 484, 1000, 1331, 1728, 2048, 2187, 2197, 2704, 3025, 3375, 4913, 5776, 6859, 7744, 8000, 8100, 9261, 10648, 12167, 13824, 16641, 17424, 19683, 21904, 24389, 26896, 29791, 32768, 35721, 39204, 42849, 50625

Offset

1,1

Links

Table of n, a(n) for n=1..40.

Example

25 (25 = 5^2) are 27 (27 = 3^3) are consecutive perfect powers. Since both are odd, then 25 is in this sequence.
128 (128 = 2^7) and 144 (144 = 12^2) are consecutive perfect powers. Since both are even, then 128 is in this sequence.

Crossrefs

Cf. A001597, A175053

Sequence in context: A042177 A302416 A303183 * A370575 A240164 A169600

Adjacent sequences: A175049 A175050 A175051 * A175053 A175054 A175055

Keyword

nonn

Author

Leroy Quet, Dec 08 2009

Extensions

Extended by Ray Chandler, Dec 10 2009

Status

approved