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Search: id:A162946
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| A162946 |
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Numbers n whose cubes are concatenations n^3=x//y such that x is an anagram of y. |
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+0
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| 11, 62, 303, 1461, 2002, 5005, 6006, 23784, 25978, 30103, 37755, 40004, 100010, 101101, 107256, 109909, 110011, 112363, 120012, 120741, 126389, 129785, 130013, 140014, 166145, 171265, 184332, 211989, 468388, 501833, 525541, 557815, 578089, 610138, 616912, 617591
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Cases with leading zeros in y, for example 1001^3=1003003001, are not admitted.
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EXAMPLE
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62^3 = 238328 and 238 is an anagram of 328, which contributes a(2)=62.
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MAPLE
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isA162946 := proc(n) local n3, x, y ; n3 := convert(n^3, base, 10) ; if nops(n3) mod 2 = 0 then if op(nops(n3)/2, n3) <> 0 then y := sort( [op(1..nops(n3)/2, n3)] ); x := sort( [op(nops(n3)/2+1..nops(n3), n3)] ); RETURN( x = y) ; else false; fi; else false; fi; end:
for n from 1 to 2000000 do if isA162946(n) then printf("%d, \n", n) ; fi; od: # R. J. Mathar, Jul 21 2009
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CROSSREFS
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Cf. A052052 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 21 2009
Sequence in context: A020454 A009016 A052051 this_sequence A120723 A053367 A163706
Adjacent sequences: A162943 A162944 A162945 this_sequence A162947 A162948 A162949
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KEYWORD
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nonn,base
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AUTHOR
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Claudio L Meller (claudiomeller(AT)gmail.com), Jul 18 2009
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EXTENSIONS
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Terms beyond 6006 added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 21 2009
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