cp's OEIS Frontend

A037385 Numbers k such that every base-3 digit of k is a base-9 digit of k.

%I A037385 #16 Aug 04 2021 02:21:28
%S A037385 1,2,9,13,18,26,81,82,83,84,85,90,99,108,117,121,162,163,164,168,170,
%T A037385 171,180,216,234,242,244,252,325,333,488,504,650,666,729,730,731,732,
%U A037385 733,738,739,740,741,742,747,748,749,750,751
%N A037385 Numbers k such that every base-3 digit of k is a base-9 digit of k.
%H A037385 Reinhard Zumkeller, <a href="/A037385/b037385.txt">Table of n, a(n) for n = 1..10000</a>
%t A037385 Select[Range[1000],SubsetQ[IntegerDigits[#,9],IntegerDigits[#,3]]&] (* _Harvey P. Dale_, Dec 19 2015 *)
%o A037385 (Haskell)
%o A037385 import Data.List ((\\), nub)
%o A037385 a037385 n = a037385_list !! (n-1)
%o A037385 a037385_list = filter f [1..] where
%o A037385    f x = null $ nub (ds 3 x) \\ nub (ds 9 x)
%o A037385    ds b x = if x > 0 then d : ds b x' else []  where (x', d) = divMod x b
%o A037385 -- _Reinhard Zumkeller_, May 30 2013
%Y A037385 Cf. A007089, A007095.
%Y A037385 Cf. A037380, A037381, A037382, A037383, A037384, A037386.
%K A037385 nonn,base
%O A037385 1,2
%A A037385 _Clark Kimberling_