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Search: id:A109135
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| A109135 |
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Least number whose n-th power is exclusionary (or 0 if no such n exists). An exclusionary n-th power m^n is one made up of digits not appearing in m, which itself consists of distinct digits. |
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+0
2
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| 0, 2, 2, 2, 0, 2, 3, 3, 0, 3, 3, 2, 0, 2, 0, 2, 0, 0, 3, 2, 0, 2, 2, 7, 0, 2, 3, 3, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 3, 0, 2, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
(list; graph; listen)
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OFFSET
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2,2
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COMMENT
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a(n)=0 for n=1(mod 4)=A016813.
a(4k+1) = 0. All other zeroes are unproved, and have been checked up to m = 1000. - David Wasserman (dwasserm(AT)earthlink.net), May 27 2008
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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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CROSSREFS
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Cf. A113951.
Sequence in context: A118664 A118205 A130277 this_sequence A059288 A071443 A013586
Adjacent sequences: A109132 A109133 A109134 this_sequence A109136 A109137 A109138
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KEYWORD
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less,nonn,base
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 17 2005
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EXTENSIONS
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More terms from David Wasserman (dwasserm(AT)earthlink.net), May 27 2008
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