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Powers of 9 without the digit '0' in their decimal expansion.
3

%I #12 Sep 08 2022 08:46:07

%S 1,9,81,729,6561,531441,4782969,282429536481,2541865828329,

%T 22876792454961,16677181699666569,278128389443693511257285776231761

%N Powers of 9 without the digit '0' in their decimal expansion.

%C Conjectured to be finite.

%t Select[9^Range[0, 2*10^5], DigitCount[#, 10, 0]==0 &]

%o (Magma) [9^n: n in [0..3*10^4] | not 0 in Intseq(9^n)];

%Y Cf. A030705.

%Y Cf. similar sequences listed in A245853.

%K nonn,base

%O 1,2

%A _Vincenzo Librandi_, Aug 04 2014