login
A037382
Numbers k such that every base-3 digit of k is a base-6 digit of k.
7
1, 2, 8, 13, 26, 36, 37, 38, 39, 40, 44, 48, 49, 50, 52, 53, 68, 72, 73, 74, 78, 79, 80, 109, 121, 152, 157, 182, 218, 224, 228, 229, 230, 231, 232, 233, 236, 242, 243, 244, 246, 247, 248, 252, 253, 254, 255, 256, 264, 270, 282, 288
OFFSET
1,2
LINKS
MATHEMATICA
Select[Range[300], SubsetQ[IntegerDigits[#, 6], IntegerDigits[#, 3]]&] (* Harvey P. Dale, Jun 05 2015 *)
PROG
(Haskell)
import Data.List ((\\), nub)
a037382 n = a037382_list !! (n-1)
a037382_list = filter f [1..] where
f x = null $ nub (ds 3 x) \\ nub (ds 6 x)
ds b x = if x > 0 then d : ds b x' else [] where (x', d) = divMod x b
-- Reinhard Zumkeller, May 30 2013
KEYWORD
nonn,base
STATUS
approved