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Numbers k such that every base-5 digit of k is a base-6 digit of k.
6

%I #15 Aug 05 2021 06:59:57

%S 1,2,3,4,6,12,18,24,31,46,56,62,75,81,87,90,91,92,93,94,99,118,124,

%T 145,150,157,226,232,243,245,291,300,306,307,308,311,312,314,322,326,

%U 332,336,337,338,341,362,372,374,378,411,416,418

%N Numbers k such that every base-5 digit of k is a base-6 digit of k.

%H Reinhard Zumkeller, <a href="/A037393/b037393.txt">Table of n, a(n) for n = 1..10000</a>

%o (Haskell)

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

%o a037393 n = a037393_list !! (n-1)

%o a037393_list = filter f [1..] where

%o f x = null $ nub (ds 5 x) \\ nub (ds 6 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. A007091, A007092.

%Y Cf. A037394, A037395, A037396, A037397.

%K nonn,base

%O 1,2

%A _Clark Kimberling_