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%I #8 Sep 07 2018 17:42:55
%S 1,2,3,5,6,14,17,68,76,96,188,483,518,582,736,786,1331,1414,3944,4214,
%T 6112,6676,8256,8583,8686,9738,15314,15483,33736,44712,48989,61562,
%U 71689,78512,93711,121568,187791,239477,292958,315426,545866,763142,792612,1391739
%N Numbers n such that n^k is zeroless for k=0,...,6.
%C Contains A124648 as a subsequence. Primes in this sequence are listed in A253646.
%C There are 55 terms below 10^7. Conjectured to be finite.
%H Giovanni Resta, <a href="/A253647/b253647.txt">Table of n, a(n) for n = 1..191</a> (terms < 3.3*10^16)
%t Select[Range[14*10^5],Count[Flatten[IntegerDigits/@(#^Range[ 0,6])],0] == 0&] (* _Harvey P. Dale_, Apr 29 2018 *)
%o (PARI) is_A253647(n,K=6)=!forstep(k=K,1,-1,vecmin(digits(n^k))||return)
%Y Cf. A052382, A104264, A124648, A124649, A253645, A253646.
%K nonn,base
%O 1,2
%A _M. F. Hasler_, Jan 07 2015