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Search: id:A112994
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| A112994 |
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Numbers whose cubes are exclusionary: numbers n such that n and n^3 have no digits in common. |
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+0
3
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| 2, 3, 7, 8, 27, 43, 47, 48, 52, 53, 63, 68, 92, 157, 172, 187, 192, 263, 378, 408, 423, 458, 468, 478, 487, 527, 587, 608, 648, 692, 823, 843, 918, 1457, 1587, 1592, 4657, 4732, 5692, 6058, 6378, 7658
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A number n with no repeated digits has an exclusionary cube n^3 if the latter is made up of digits not appearing in n. (This is a subsequence of A029785.) For the corresponding exclusionary cubes see A112993. Conjectured to be complete.
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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.
Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 60.
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LINKS
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Clifford A. Pickover, Extreme Challenges in Mathematics and Morals
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CROSSREFS
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The corresponding cubes are in A112993.
Sequence in context: A045545 A029790 A129645 this_sequence A056036 A056432 A056433
Adjacent sequences: A112991 A112992 A112993 this_sequence A112995 A112996 A112997
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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), Oct 13 2005
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EXTENSIONS
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Missing term 468 added by N. J. A. Sloane (njas(AT)research.att.com), May 22 2008
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