A109881 Perfect powers with at least one more digit permutation giving another perfect power with the same index.

100, 125, 144, 169, 196, 256, 400, 441, 512, 625, 900, 961, 1000, 1024, 1089, 1296, 1369, 1600, 1764, 1936, 2025, 2304, 2401, 2500, 2809, 2916, 3600, 4096, 4761, 4900, 6400, 7056, 8000, 8100, 9025, 9216, 9604, 9801, 10000, 10201, 10404, 10609, 10816

Offset

1,1

Links

Table of n, a(n) for n=1..43.

Example

256 is a term 256=4^4 and 625 = 5^4. 243 is not a member though 243= 3^5 and 324 = 18^2 as the indices are not the same. 1000 is a member because 1000 and 0001 are both cubes.

Crossrefs

Sequence in context: A331543 A063009 A066139 * A292275 A295161 A127336

Adjacent sequences: A109878 A109879 A109880 * A109882 A109883 A109884

Keyword

base,nonn,easy

Author

Amarnath Murthy, Jul 10 2005

Extensions

Corrected and extended. Added an example. - David Wasserman, Oct 15 2008

Status

approved