A037407 - OEIS

%I #13 Aug 22 2021 09:22:31

%S 1,2,3,4,5,6,7,8,10,20,30,40,50,60,70,80,91,136,158,172,182,227,263,

%T 273,318,354,364,405,415,425,435,445,450,451,452,453,454,455,456,457,

%U 458,465,475,485,536,546,627,637,683,718,728,801

%N Numbers k such that every base-9 digit of k is a base-10 digit of k.

%H Reinhard Zumkeller, <a href="/A037407/b037407.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[1000],SubsetQ[IntegerDigits[#],IntegerDigits[#,9]]&] (* _Harvey P. Dale_, May 01 2018 *)

%o (Haskell)

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

%o a037407 n = a037407_list !! (n-1)

%o a037407_list = filter f [1..] where

%o    f x = null $ nub (ds 9 x) \\ nub (ds 10 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

%K nonn,base

%O 1,2

%A _Clark Kimberling_