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A252482 Exponents n such that the decimal expansion of the power 12^n contains no zeros. 1

%I #13 Apr 06 2019 13:38:11

%S 0,1,2,3,5,6,8,10,14,20,26

%N Exponents n such that the decimal expansion of the power 12^n contains no zeros.

%C Conjectured to be finite.

%C See A245853 for the actual powers 12^a(n).

%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[0,30],DigitCount[12^#,10,0]==0&] (* _Harvey P. Dale_, Apr 06 2019 *)

%o (PARI) for(n=0,9e9,vecmin(digits(12^n))&&print1(n","))

%Y For zeroless powers x^n, see A238938 (x=2), A238939, A238940, A195948, A238936, A195908, A245852, A240945 (k=9), A195946 (x=11), A245853, A195945; A195942, A195943, A103662.

%Y For the corresponding exponents, see A007377, A030700, A030701, A008839, A030702, A030703, A030704, A030705, A030706, this sequence A252482, A195944.

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

%K nonn,base

%O 1,3

%A _M. F. Hasler_, Dec 17 2014

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