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Decimal expansion of 4^n contains no zeros (probably finite).
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%I #26 Oct 08 2023 03:59:03

%S 0,1,2,3,4,7,8,9,12,14,16,17,18,36,38,43

%N Decimal expansion of 4^n contains no zeros (probably finite).

%C Integers in A007377 / 2. Conjectured to be finite, and probably complete. - _M. F. Hasler_, Mar 08 2014

%H M. F. Hasler, <a href="https://oeis.org/wiki/Zeroless_powers">Zeroless powers</a>, OEIS Wiki, Mar 07 2014.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Zero.html">Zero</a>.

%t Select[Range[0,50],DigitCount[4^#,10,0]==0&] (* _Paolo Xausa_, Oct 07 2023 *)

%o (PARI) for(n=0, 99, vecmin(digits(4^n))&& print1(n", ")) \\ _M. F. Hasler_, Mar 07 2014

%o (Magma) [n: n in [0..500] | not 0 in Intseq(4^n)]; // _Vincenzo Librandi_, Mar 08 2014

%Y For the zeroless numbers (powers x^n), see A238938, A238939, A238940, A195948, A238936, A195908, A195946, A195945, A195942, A195943, A103662.

%Y For the corresponding exponents, see A007377, A008839, A030700, A030701, A008839, A030702, A030703, A030704, A030705, A030706, A195944.

%Y For other related sequences, see A052382, A027870, A102483, A103663.

%K nonn,base

%O 1,3

%A _Eric W. Weisstein_

%E Offset corrected and initial 0 added by _M. F. Hasler_, Mar 07 2014