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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.
1

%I #8 Mar 31 2012 10:26:04

%S 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,

%T 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,

%U 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

%N 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.

%C a(n)=0 for n=1(mod 4)=A016813.

%C a(4k+1) = 0. All other zeros are unproved and have been checked up to m = 1000. - _David Wasserman_, May 27 2008

%D H. Ibstedt, Solution to Problem 2623, "Exclusionary Powers", pp. 346-9 Journal of Recreational Mathematics, Vol. 32 No.4 2003-4 Baywood NY.

%Y Cf. A113951.

%K less,nonn,base

%O 2,2

%A _Lekraj Beedassy_, Aug 17 2005

%E More terms from _David Wasserman_, May 27 2008