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A131629 Numbers k such that the decimal expansion of 3^k contains no 3. 3

%I #9 Sep 08 2022 08:45:31

%S 0,2,3,4,6,7,8,10,11,14,19,27,28,34,40,50,55,84

%N Numbers k such that the decimal expansion of 3^k contains no 3.

%C I conjecture that 84 is the last term.

%t Join[{0}, Select[ Range@10000, FreeQ[ IntegerDigits[3^# ], 3] &]

%o (Magma) [n: n in [0..1000] | not 3 in Intseq(3^n) ]; // _Vincenzo Librandi_, May 06 2015

%Y Cf. similar sequences listed in A131613.

%Y Cf. A007377, A136291.

%K base,fini,nonn

%O 1,2

%A _Shyam Sunder Gupta_, Sep 01 2007

%E Initial 0 added and Mathematica code adapted by _Vincenzo Librandi_, May 06 2015

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)