login
Numbers k such that every base-4 digit of k is a base-9 digit of k.
6

%I #15 Jul 12 2024 18:33:21

%S 1,2,3,81,84,85,93,101,102,105,106,110,162,168,170,174,190,191,243,

%T 244,252,253,254,255,325,341,650,750,758,768,837,885,894,918,919,921,

%U 922,923,925,926,939,957,972,973,974,975,976,977

%N Numbers k such that every base-4 digit of k is a base-9 digit of k.

%H Reinhard Zumkeller, <a href="/A037391/b037391.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[1000],SubsetQ[IntegerDigits[#,9],IntegerDigits[#,4]]&] (* _Harvey P. Dale_, Jul 12 2024 *)

%o (Haskell)

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

%o a037391 n = a037391_list !! (n-1)

%o a037391_list = filter f [1..] where

%o f x = null $ nub (ds 4 x) \\ nub (ds 9 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. A037387, A037388, A037389, A037390, A037392.

%K nonn,base

%O 1,2

%A _Clark Kimberling_