A037381 - OEIS

%I #15 Jul 30 2021 04:37:42

%S 1,2,7,27,28,30,35,40,51,54,55,60,71,121,127,132,135,136,137,138,139,

%T 142,147,152,157,160,161,175,176,177,178,179,180,185,190,195,202,210,

%U 211,212,214,227,232,235,238,239,242,251,255

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

%H Reinhard Zumkeller, <a href="/A037381/b037381.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[300],SubsetQ[IntegerDigits[#,5],IntegerDigits[#,3]]&] (* _Harvey P. Dale_, Dec 31 2017 *)

%o (Haskell)

%o import Data.List ((\\), nub)

%o a037381 n = a037381_list !! (n-1)

%o a037381_list = filter f [1..] where

%o    f x = null $ nub (ds 3 x) \\ nub (ds 5 x)

%o    ds b x = if x > 0 then d : ds b x' else []  where (x', d) = divMod x b

%o -- _Reinhard Zumkeller_, May 30 2013

%Y Cf. A007089, A007091.

%Y Cf. A037380, A037382, A037383, A037384, A037385, A037386.

%K nonn,base

%O 1,2

%A _Clark Kimberling_