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Search: id:A113951
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| A113951 |
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Largest number whose n-th power is exclusionary (or 0 if no such number exists). |
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+0
3
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| 639172, 7658, 2673, 0, 92, 93, 712, 0, 18, 12, 4, 0, 37, 0, 9, 0, 0, 3, 4, 0, 7, 2, 7, 0, 8, 3, 9, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2
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OFFSET
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2,1
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COMMENT
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The number m with no repeated digits has an exclusionary n-th power m^n if the latter is made up of digits not appearing in m. For the corresponding m^n see A113952. In principle, no exclusionary n-th power exists for n=1(mod 4)=A016813.
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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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EXAMPLE
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a(4)=2673 because no number with distinct digits beyond 2673 has a 4-th power that shares no digit in common with it (see A111116). Here we have 2673^4=51050010415041.
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CROSSREFS
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Cf. A109135; A112736, A112994, A113318.
Adjacent sequences: A113948 A113949 A113950 this_sequence A113952 A113953 A113954
Sequence in context: A141815 A048924 A066590 this_sequence A089220 A052243 A102810
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KEYWORD
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base,nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Nov 09 2005
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