A125304 a(n) is the smallest number whose n-th power has all its digits twice.

11, 88, 11, 207, 2955

Offset

1,1

Comments

There may be no further terms.

Links

Table of n, a(n) for n=1..5.

Example

11^1 = 11, 88^2 = 7744, 11^3 = 1331, 207^4 = 1836036801, 2955^5 = 225313610074846875.

Mathematica

g[n_] := Block[{k = 2}, While[ Union[ Length@ # & /@ Split@ Sort@ IntegerDigits[k^n]] != {2}, k++ ]; k]; Do[ Print@ g@ n, {n, 5}] (* Robert G. Wilson v, Aug 31 2007 *)

Crossrefs

Sequence in context: A224182 A119383 A001278 * A334249 A192827 A022735

Adjacent sequences: A125301 A125302 A125303 * A125305 A125306 A125307

Keyword

base,fini,nonn

Author

Tanya Khovanova, Dec 09 2006

Status

approved