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Search: id:A112736
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| A112736 |
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Numbers whose square is exclusionary. |
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+0
5
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| 2, 3, 4, 7, 8, 9, 17, 18, 24, 29, 34, 38, 39, 47, 53, 54, 57, 58, 59, 62, 67, 72, 79, 84, 92, 94, 157, 158, 173, 187, 192, 194, 209, 237, 238, 247, 253, 257, 259, 307, 314, 349, 359, 409, 437, 459, 467, 547, 567, 612, 638, 659, 672, 673, 689, 712, 729, 738, 739, 749
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The number m with no repeated digits has an exclusionary square m^2 if the latter is made up of digits not appearing in m. For the corresponding exclusionary squares see A112735.
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REFERENCES
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H. Ibstedt, Solution to Problem 2623, "Exclusionary Powers", pp. 346-9, Journal of Recreational Mathematics, Vol. 32 No.4 2003-4 Baywood NY.
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MATHEMATICA
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Select[Range[1000], Intersection[IntegerDigits[ # ], IntegerDigits[ #^2]] == {} && Length[Union[IntegerDigits[ # ]]] == Length[IntegerDigits[ # ]] &] - Tanya Khovanova (tanyakh(AT)yahoo.com), Dec 25 2006
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CROSSREFS
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Cf. A112321.
This is a subsequence of A029783 (Digits of n are not present in n^2) of numbers with all different digits. The sequence A059930 (Numbers n such that n and n^2 combined use different digits) is a subsequence of this sequence.
Sequence in context: A152037 A058075 A029783 this_sequence A059930 A125965 A111116
Adjacent sequences: A112733 A112734 A112735 this_sequence A112737 A112738 A112739
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KEYWORD
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nonn,base,fini
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Sep 16 2005
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EXTENSIONS
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More terms from Tanya Khovanova (tanyakh(AT)yahoo.com), Dec 25 2006
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