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Powers of 6 without the digit '0' in their decimal expansion.
14

%I #14 Jan 28 2023 14:00:59

%S 1,6,36,216,1296,7776,46656,279936,1679616,2176782336,16926659444736,

%T 4738381338321616896,36845653286788892983296,

%U 17324272922341479351919144385642496

%N Powers of 6 without the digit '0' in their decimal expansion.

%C Conjectured to be finite and complete. See the OEIS wiki page for further information, references and links.

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

%F a(n)=6^A030702(n).

%t Select[6^Range[0,50],DigitCount[#,10,0]==0&] (* _Harvey P. Dale_, Dec 03 2020 *)

%o (PARI) for(n=0,99,vecmin(digits(6^n))&& print1(6^n","))

%Y Cf. A007377, A030700, A030701, A008839, A030702, A030703, A030705, A030706, A195944.

%Y Cf. A195908, A195946, A195945.

%Y Cf. A195942, A195943, A027870, A102483.

%K nonn,base

%O 1,2

%A _M. F. Hasler_, Mar 07 2014

%E Keyword:fini and keyword:full removed by _Jianing Song_, Jan 28 2023 as finiteness is only conjectured.