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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
 866, 976, 7786, 8066, 8786, 8986, 9976, 70786, 77786, 79976, 80066, 80986, 87866, 89066, 89986, 98786, 99866, 99976, 700786, 707786, 709976, 770786, 778786, 778996, 780866, 788986, 789986, 799786, 799976, 800066, 800986, 809986, 879986, 887986, 888986, 889786, 890066, 890786, 890986 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This is a subsequence of A244358. All numbers end in a 6 and every number contains some combination of {6,7,8,9,0}. There are no consecutive terms in this sequence. See A237766. LINKS Table of n, a(n) for n=1..39. EXAMPLE 866, 867, 868, 869 and 870 are not divisible by any of their nonzero digits. Thus 866 is a member of this sequence. MATHEMATICA 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 *) PROG (Python) def a(n): ..for i in range(10**4): ....tot = 0 ....for k in range(i, i+n): ......c = 0 ......for b in str(k): ........if b != '0': ..........if k%int(b)!=0: ............c += 1 ......if c == len(str(k))-str(k).count('0'): ........tot += 1 ....if tot == n: ......print(i, end=', ') a(5) CROSSREFS Cf. A038772, A244358, A237766. Sequence in context: A114497 A129035 A129034 * A038657 A063900 A348818 Adjacent sequences: A244356 A244357 A244358 * A244360 A244361 A244362 KEYWORD nonn,base AUTHOR Derek Orr, Jun 26 2014 STATUS approved

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Last modified May 29 20:46 EDT 2024. Contains 372952 sequences. (Running on oeis4.)