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A244359 Numbers n such that n, n+1, n+2, n+3, and n+4 are not divisible by any of their nonzero digits. 0

%I #8 Dec 11 2018 13:16:02

%S 866,976,7786,8066,8786,8986,9976,70786,77786,79976,80066,80986,87866,

%T 89066,89986,98786,99866,99976,700786,707786,709976,770786,778786,

%U 778996,780866,788986,789986,799786,799976,800066,800986,809986,879986,887986,888986,889786,890066,890786,890986

%N Numbers n such that n, n+1, n+2, n+3, and n+4 are not divisible by any of their nonzero digits.

%C This is a subsequence of A244358.

%C All numbers end in a 6 and every number contains some combination of {6,7,8,9,0}.

%C There are no consecutive terms in this sequence. See A237766.

%e 866, 867, 868, 869 and 870 are not divisible by any of their nonzero digits. Thus 866 is a member of this sequence.

%t div[n_]:=Module[{nzd=Select[IntegerDigits[n],#!=0&]},NoneTrue[n/nzd, IntegerQ]]; SequencePosition[Table[If[div[n],1,0],{n,900000}],{1,1,1,1,1}][[All,1]] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Dec 11 2018 *)

%o (Python)

%o def a(n):

%o ..for i in range(10**4):

%o ....tot = 0

%o ....for k in range(i,i+n):

%o ......c = 0

%o ......for b in str(k):

%o ........if b != '0':

%o ..........if k%int(b)!=0:

%o ............c += 1

%o ......if c == len(str(k))-str(k).count('0'):

%o ........tot += 1

%o ....if tot == n:

%o ......print(i,end=', ')

%o a(5)

%Y Cf. A038772, A244358, A237766.

%K nonn,base

%O 1,1

%A _Derek Orr_, Jun 26 2014

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Last modified June 13 17:32 EDT 2024. Contains 373391 sequences. (Running on oeis4.)