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Search: id:A059930
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| A059930 |
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Numbers n such that n and n^2 combined use different digits. |
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+0
6
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| 2, 3, 4, 7, 8, 9, 17, 18, 24, 29, 53, 54, 57, 59, 72, 79, 84, 209, 259, 567, 807, 854
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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There are exactly 22 solutions in base 10.
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MATHEMATICA
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Select[Range[10000], Intersection[IntegerDigits[ # ], IntegerDigits[ #^2]] == {} && Length[Union[IntegerDigits[ # ], IntegerDigits[ #^2]]] == Length[IntegerDigits[ # ]] + Length[IntegerDigits[ #^2]] &] - Tanya Khovanova (tanyakh(AT)yahoo.com), Dec 25 2006
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CROSSREFS
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Cf. A059931, A029783.
Cf. A029783 = Digits of n are not present in n^2, A112736 = numbers whose squares are exclusionary.
Sequence in context: A058075 A029783 A112736 this_sequence A125965 A111116 A113318
Adjacent sequences: A059927 A059928 A059929 this_sequence A059931 A059932 A059933
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KEYWORD
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nonn,base,fini,full
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Feb 15 2001.
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