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A171492 Numbers that are not divisible by each of their nonzero decimal digits. 3
13, 14, 16, 17, 18, 19, 21, 23, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 38, 39, 41, 42, 43, 45, 46, 47, 49, 51, 52, 53, 54, 56, 57, 58, 59, 61, 62, 63, 64, 65, 67, 68, 69, 71, 72, 73, 74, 75, 76, 78, 79, 81, 82, 83, 84, 85, 86, 87, 89, 91, 92, 93, 94, 95, 96, 97, 98, 103, 106 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A002796.

A067458(a(n)) > 0. - Reinhard Zumkeller, Sep 24 2015

LINKS

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

Index entries for 10-automatic sequences.

FORMULA

a(n) ~ k*n, where k = 2520/2519 = 1.00039.... - Charles R Greathouse IV, Feb 13 2017

MATHEMATICA

a[c_]:=Module[{b=DeleteCases[IntegerDigits[c], 0]}, !And@@Divisible[c, b]]; Select[Range[250], a] (* Metin Sariyar, Sep 14 2019 *)

PROG

(Haskell)

import Data.List (nub, sort); import Data.Char (digitToInt)

a171492 n = a171492_list !! (n-1)

a171492_list = filter f [1..] where

   f x = any ((> 0) . mod x) ds where

     ds = map digitToInt (if c == '0' then cs else cs')

     cs'@(c:cs) = nub $ sort $ show x

-- Reinhard Zumkeller, Jan 01 2014

(MAGMA) sol:=[]; for k in [1..120] do a:=Set(Intseq(k)) diff {0}; if #[c:c in a|IsIntegral(k/c)] ne #a then; Append(~sol, k); end if; end for; sol; // Marius A. Burtea, Sep 09 2019

CROSSREFS

Cf. A002796, A034838, A067458.

Sequence in context: A108854 A106007 A048037 * A054031 A060275 A083984

Adjacent sequences:  A171489 A171490 A171491 * A171493 A171494 A171495

KEYWORD

nonn,base,easy

AUTHOR

Jaroslav Krizek, Dec 10 2009

STATUS

approved

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Last modified June 21 18:46 EDT 2021. Contains 345365 sequences. (Running on oeis4.)