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A123345 Numbers containing all divisors in their binary representation. 5
1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 19, 20, 22, 23, 24, 26, 28, 29, 31, 32, 34, 37, 38, 40, 41, 43, 44, 46, 47, 48, 52, 53, 55, 56, 58, 59, 61, 62, 64, 67, 68, 71, 73, 74, 76, 79, 80, 82, 83, 86, 88, 89, 92, 94, 96, 97, 101, 103, 104, 106, 107, 109, 112, 113, 116, 118 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

PROG

(Haskell)

import Data.List (unfoldr, isInfixOf)

a123345 n = a123345_list !! (n-1)

a123345_list = filter

  (\x -> 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

Complement of A093642. Different from A093641.

Cf. A000040 (subsequence), A027750, A218388.

Sequence in context: A328369 A207674 A162722 * A093641 A209638 A191844

Adjacent sequences:  A123342 A123343 A123344 * A123346 A123347 A123348

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Oct 12 2006

STATUS

approved

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Last modified June 15 00:00 EDT 2021. Contains 345041 sequences. (Running on oeis4.)