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 A113952 Largest exclusionary n-th power (or 0 if no such number exists). 1
 408540845584, 449103134312, 51050010415041, 0, 606355001344, 60170087060757, 66045000696445844586496, 0, 3570467226624, 743008370688, 16777216, 0, 9012061295995008299689, 0, 1853020188851841, 0, 0, 1162261467, 1099511627776 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS 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. REFERENCES H. Ibstedt, Solution to Problem 2623, "Exclusionary Powers", pp. 346-9 Journal of Recreational Mathematics, Vol. 32 No.4 2003-4 Baywood NY. LINKS EXAMPLE a(10)=3570467226624 because it shares no digit in common with its 10th root 18 and no number with distinct digits greater than 18 exhibits such property. CROSSREFS Cf. A112735, A112993, A113317. Sequence in context: A269417 A281963 A082411 * A218865 A289111 A209833 Adjacent sequences:  A113949 A113950 A113951 * A113953 A113954 A113955 KEYWORD base,nonn,fini AUTHOR Lekraj Beedassy, Nov 09 2005 STATUS approved

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Last modified August 14 17:44 EDT 2018. Contains 313751 sequences. (Running on oeis4.)