A034290 Cubes that have some nontrivial permutation of digits that is also a cube.

125, 512, 42875, 54872, 125000, 512000, 1030301, 1061208, 1331000, 5639752, 7529536, 8120601, 10793861, 11697083, 16974593, 17173512, 21717639, 24137569, 32461759, 35611289, 36264691, 39651821, 41063625, 42875000, 44738875

Offset

1,1

Comments

Leading zeros are not allowed.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

125 and 512 are both in the sequence because 5^3 = 125 and 8^3 = 512.

Maple

S:= {}:
for x from 1 to 10^3 do
  L:= sort(convert(x^3, base, 10));
  if assigned(R[L]) then S:= S union {x^3, R[L]}
  else R[L]:= x^3
  fi
od:
sort(convert(S, list)); # Robert Israel, Nov 12 2015

Mathematica

Select[Range[360]^3, AnyTrue[Rest[FromDigits /@ Permutations@ IntegerDigits@ #], Function[x, IntegerQ@ Power[x, 1/3] && IntegerLength@ x == IntegerLength@ #]] &] (* Michael De Vlieger, Nov 12 2015 *)

Crossrefs

Sequence in context: A128993 A061450 A067974 * A295025 A070308 A211176

Adjacent sequences: A034287 A034288 A034289 * A034291 A034292 A034293

Keyword

nonn,base

Author

Erich Friedman

Status

approved