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A238940 Powers of 4 without the digit '0' in their decimal expansion. 14

%I #13 Jan 28 2023 14:00:50

%S 1,4,16,64,256,16384,65536,262144,16777216,268435456,4294967296,

%T 17179869184,68719476736,4722366482869645213696,

%U 75557863725914323419136,77371252455336267181195264

%N Powers of 4 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)=4^A030701(n).

%t Select[4^Range[0,50],DigitCount[#,10,0]==0&] (* _Harvey P. Dale_, Aug 31 2021 *)

%o (PARI) for(n=0,99,vecmin(digits(4^n))&& print1(4^n","))

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

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

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

%K nonn,base

%O 1,2

%A _M. F. Hasler_, Mar 07 2014

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

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Last modified April 23 08:18 EDT 2024. Contains 371905 sequences. (Running on oeis4.)