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A037381
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Numbers k such that every base-3 digit of k is a base-5 digit of k.
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7
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1, 2, 7, 27, 28, 30, 35, 40, 51, 54, 55, 60, 71, 121, 127, 132, 135, 136, 137, 138, 139, 142, 147, 152, 157, 160, 161, 175, 176, 177, 178, 179, 180, 185, 190, 195, 202, 210, 211, 212, 214, 227, 232, 235, 238, 239, 242, 251, 255
(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[300], SubsetQ[IntegerDigits[#, 5], IntegerDigits[#, 3]]&] (* Harvey P. Dale, Dec 31 2017 *)
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PROG
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(Haskell)
import Data.List ((\\), nub)
a037381 n = a037381_list !! (n-1)
a037381_list = filter f [1..] where
f x = null $ nub (ds 3 x) \\ nub (ds 5 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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