cp's OEIS Frontend

A037381 Numbers k such that every base-3 digit of k is a base-5 digit of k.

%I A037381 #15 Jul 30 2021 04:37:42
%S A037381 1,2,7,27,28,30,35,40,51,54,55,60,71,121,127,132,135,136,137,138,139,
%T A037381 142,147,152,157,160,161,175,176,177,178,179,180,185,190,195,202,210,
%U A037381 211,212,214,227,232,235,238,239,242,251,255
%N A037381 Numbers k such that every base-3 digit of k is a base-5 digit of k.
%H A037381 Reinhard Zumkeller, <a href="/A037381/b037381.txt">Table of n, a(n) for n = 1..10000</a>
%t A037381 Select[Range[300],SubsetQ[IntegerDigits[#,5],IntegerDigits[#,3]]&] (* _Harvey P. Dale_, Dec 31 2017 *)
%o A037381 (Haskell)
%o A037381 import Data.List ((\\), nub)
%o A037381 a037381 n = a037381_list !! (n-1)
%o A037381 a037381_list = filter f [1..] where
%o A037381    f x = null $ nub (ds 3 x) \\ nub (ds 5 x)
%o A037381    ds b x = if x > 0 then d : ds b x' else []  where (x', d) = divMod x b
%o A037381 -- _Reinhard Zumkeller_, May 30 2013
%Y A037381 Cf. A007089, A007091.
%Y A037381 Cf. A037380, A037382, A037383, A037384, A037385, A037386.
%K A037381 nonn,base
%O A037381 1,2
%A A037381 _Clark Kimberling_