A188643 Numbers which are not a multiple of the product of their digits.

10, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99

Offset

1,1

Comments

Complement of A007602; A188642(a(n)) = 0; A011540 is a subsequence.

Links

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

Mathematica

t={}; Do[p=Times@@IntegerDigits[n]; If[p==0, AppendTo[t, n], If[!IntegerQ[n/p], AppendTo[t, n]]], {n, 99}]; t (* Jayanta Basu, May 05 2013 *)
nmpQ[n_]:=Module[{idn=IntegerDigits[n], pr}, pr=If[MemberQ[idn, 0], Pi, Times@@ idn]; Mod[n, pr]!=0]; Select[Range[100], nmpQ] (* Harvey P. Dale, Oct 13 2018 *)

Prog

(Haskell)
import Data.List (elemIndices)
a188643 n = a188643_list !! (n-1)
a188643_list = map succ $ elemIndices 0 $ map a188642 [1..]

Crossrefs

Cf. A065877.

Sequence in context: A102362 A327270 A070837 * A087140 A226778 A061837

Adjacent sequences: A188640 A188641 A188642 * A188644 A188645 A188646

Keyword

nonn,base

Author

Reinhard Zumkeller, Apr 07 2011

Status

approved