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 A093642 Numbers not containing all divisors in their binary representation. 5
 9, 15, 18, 21, 25, 27, 30, 33, 35, 36, 39, 42, 45, 49, 50, 51, 54, 57, 60, 63, 65, 66, 69, 70, 72, 75, 77, 78, 81, 84, 85, 87, 90, 91, 93, 95, 98, 99, 100, 102, 105, 108, 110, 111, 114, 115, 117, 119, 120, 121, 123, 125, 126, 129, 130, 132, 133, 135, 138, 140, 141 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 EXAMPLE 55 is not a member, as the binary representations of 5 ("101") and 11 ("1011") both appear in the binary representation of 55 ("110111"). PROG (Haskell) import Data.List (unfoldr, isInfixOf) a093642 n = a093642_list !! (n-1) a093642_list = filter   (\x -> not \$ all (`isInfixOf` b x) \$ map b \$ a027750_row x) [1..] where   b = unfoldr (\x -> if x == 0 then Nothing else Just \$ swap \$ divMod x 2) -- Reinhard Zumkeller, Oct 27 2012 CROSSREFS A093640(a(n)) < A000005(a(n)). Subsequence of A105441. - Reinhard Zumkeller, Apr 09 2005 Cf. A078822, A007088. Complement of A123345. Cf. A027750. Sequence in context: A110473 A105441 A325164 * A177733 A207675 A118236 Adjacent sequences:  A093639 A093640 A093641 * A093643 A093644 A093645 KEYWORD nonn,base AUTHOR Reinhard Zumkeller, Apr 07 2004 STATUS approved

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Last modified April 14 12:11 EDT 2021. Contains 342949 sequences. (Running on oeis4.)