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A161861
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Cubes which are anagrams of squares
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1
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1, 64, 729, 1000, 2197, 4096, 9261, 15625, 19683, 21952, 46656, 64000, 91125, 110592, 117649, 132651, 157464, 216000, 226981, 262144, 328509, 343000, 373248, 531441, 592704, 614125, 681472, 729000, 884736, 912673, 1000000, 1061208, 1157625
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 2197 is in the list because is a cube (13^3) and 7921 (an anagram of 2197) is a square(89 * 89)
If k is present then so is 1000k.
Cube root of n's: 1, 4, 9, 10, 13, 16, 21, 25, 27, 28, 36, 40, 45, 48, 49, 51, 54, 60, 61, 64, ..., .
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LINKS
| Robert G. Wilson v, Table of n, a(n) for n = 1..872 .
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MATHEMATICA
| fQ[n_] := Union[ IntegerQ@ Sqrt@ FromDigits@ # & /@ Permutations@ IntegerDigits@ n][[-1]] == True; lst = {}; Do[ If[ fQ[n^3], AppendTo[lst, n^3]; Print[n^3]], {n, 1650}] (* Or for larger n's *)
(* first do *) Needs[ "Combinatorica`" ] (* then *) fQ[ n_ ] := Block[ {id = IntegerDigits@n, k = 1, mx = Floor[ Log[ 10, n ] +1 ]! +1}, While[ k < mx && !IntegerQ@ Sqrt@ FromDigits@ UnrankPermutation[ k, id ], k++ ]; If[ k != mx, True, False ] ]
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CROSSREFS
| Includes A001014
Sequence in context: A182673 A182674 A048392 * A179149 A074471 A164345
Adjacent sequences: A161858 A161859 A161860 * A161862 A161863 A161864
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KEYWORD
| nonn,base
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AUTHOR
| Claudio L Meller (claudiomeller(AT)gmail.com), Jun 20 2009
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EXTENSIONS
| Edited, corrected, extended by Robert G. Wilson v, (rgwv(AT)rgwv.com), Jun 30 2009
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