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Search: id:A113952
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| A113952 |
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Largest exclusionary n-th power (or 0 if no such number exists). |
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+0
2
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| 408540845584, 449103134312, 51050010415041, 0, 606355001344, 60170087060757, 66045000696445844586496, 0, 3570467226624, 743008370688, 16777216, 0, 9012061295995008299689, 0, 1853020188851841, 0, 0, 1162261467, 1099511627776
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OFFSET
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2,1
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COMMENT
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An exclusionary n-th power m^n is one made up of digits not appearing in the root m which itself consists of distinct digits. For the corresponding root m, see A113951. 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(10)=3570467226624 because it shares no digit in common with its 10-th root 18 and no number with distinct digits greater than 18 exhibits such property.
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CROSSREFS
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Cf. A112735, A112993, A113317.
Sequence in context: A080132 A080122 A082411 this_sequence A104303 A105302 A015421
Adjacent sequences: A113949 A113950 A113951 this_sequence A113953 A113954 A113955
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KEYWORD
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base,nonn,fini
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Nov 09 2005
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