

A109135


Least number whose nth power is exclusionary (or 0 if no such n exists). An exclusionary nth power m^n is one made up of digits not appearing in m, which itself consists of distinct digits.


1



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
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OFFSET

2,2


COMMENTS

a(4k+1) = 0. All other zeros are unproved and have been checked up to m = 1000.  David Wasserman, May 27 2008


REFERENCES

H. Ibstedt, Solution to Problem 2623, "Exclusionary Powers", pp. 3469 Journal of Recreational Mathematics, Vol. 32 No.4 20034 Baywood NY.


LINKS



CROSSREFS



KEYWORD

less,nonn,base


AUTHOR



EXTENSIONS



STATUS

approved



