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A037385
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Numbers k such that every base-3 digit of k is a base-9 digit of k.
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7
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1, 2, 9, 13, 18, 26, 81, 82, 83, 84, 85, 90, 99, 108, 117, 121, 162, 163, 164, 168, 170, 171, 180, 216, 234, 242, 244, 252, 325, 333, 488, 504, 650, 666, 729, 730, 731, 732, 733, 738, 739, 740, 741, 742, 747, 748, 749, 750, 751
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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MATHEMATICA
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Select[Range[1000], SubsetQ[IntegerDigits[#, 9], IntegerDigits[#, 3]]&] (* Harvey P. Dale, Dec 19 2015 *)
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PROG
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(Haskell)
import Data.List ((\\), nub)
a037385 n = a037385_list !! (n-1)
a037385_list = filter f [1..] where
f x = null $ nub (ds 3 x) \\ nub (ds 9 x)
ds b x = if x > 0 then d : ds b x' else [] where (x', d) = divMod x b
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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