%I #36 Apr 29 2017 22:11:39
%S 1,11,58,59,171,521,391,163,1023,1271,1711,4051,1603,3679,9639,3019,
%T 13442,5469,14301,17931,24871,31857,20161,24091,33245,33259,35561,
%U 36411,30817,110343,51488,52504,37141,77044,105722,138088,61085,83707,127258,85163,38001,148285
%N Least number x such that x^n has n digits equal to k. Case k = 1.
%H Martin Gossow, <a href="/A285448/b285448.txt">Table of n, a(n) for n = 1..100</a>
%e a(4) = 59 because 59^4 = 12117361 has 4 digits '1' and is the least number to have this property.
%p P:=proc(q,h) local a,j,k,n,t; for n from 1 to q do for k from 1 to q do
%p a:=convert(k^n,base,10); t:=0; for j from 1 to nops(a) do if a[j]=h then t:=t+1; fi; od;
%p if t=n then print(k); break; fi; od; od; end: P(10^9,1);
%o (PARI) A285448vec=(n,{k=1})->{my(L:list,c);L=List();for(t=1,n,forstep(y=1,+oo,1,c=digits(y^t);if(sum(j=1,#c,c[j]==k)==t,listput(L,y);break())));return(Vec(L))} \\ _R. J. Cano_, Apr 29 2017
%Y Cf. A285449, A285450, A285451, A285452, A285453, A285454, A285455, A285456.
%K base,nonn,easy
%O 1,2
%A _Paolo P. Lava_, Apr 19 2017