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A037399
Numbers k such that every base-6 digit of k is a base-8 digit of k.
5
1, 2, 3, 4, 5, 28, 80, 85, 86, 98, 115, 160, 172, 213, 266, 331, 345, 532, 691, 699, 705, 708, 717, 720, 727, 763, 765, 792, 799, 811, 819, 835, 851, 859, 861, 863, 864, 900, 916, 928, 1036, 1061, 1068, 1085, 1093, 1128, 1129, 1130
OFFSET
1,2
LINKS
MATHEMATICA
b68Q[n_]:=Module[{b6=Union[IntegerDigits[n, 6]], b8=Union[IntegerDigits[ n, 8]]}, And@@Table[ MemberQ[b8, b6[[i]]], {i, Length[b6]}]]; Select[Range[ 1200], b68Q] (* Harvey P. Dale, Mar 24 2012 *)
PROG
(Haskell)
import Data.List ((\\), nub)
a037399 n = a037399_list !! (n-1)
a037399_list = filter f [1..] where
f x = null $ nub (ds 6 x) \\ nub (ds 8 x)
ds b x = if x > 0 then d : ds b x' else [] where (x', d) = divMod x b
-- Reinhard Zumkeller, May 30 2013
CROSSREFS
KEYWORD
nonn,base
STATUS
approved