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A097252
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Numbers whose set of base 6 digits is {0,5}.
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5
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0, 5, 30, 35, 180, 185, 210, 215, 1080, 1085, 1110, 1115, 1260, 1265, 1290, 1295, 6480, 6485, 6510, 6515, 6660, 6665, 6690, 6695, 7560, 7565, 7590, 7595, 7740, 7745, 7770, 7775, 38880, 38885, 38910, 38915, 39060, 39065, 39090, 39095, 39960, 39965
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OFFSET
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0,2
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COMMENTS
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n such that there exists a permutation p_1, ..., p_n of 1, ..., n such that i + p_i is a power of 6 for every i.
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LINKS
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FORMULA
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a(2n) = 6*a(n), a(2n+1) = a(2n)+5.
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MATHEMATICA
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fQ[n_]:=Union@Join[{0, 5}, IntegerDigits[n, 6]]=={0, 5}; Select[Range[0, 40000], fQ] (* Vincenzo Librandi, May 25 2012 *)
FromDigits[#, 6]&/@Tuples[{ 0, 5}, 6] (* Harvey P. Dale, Aug 15 2021 *)
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PROG
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(Magma) [n: n in [0..40000] | Set(IntegerToSequence(n, 6)) subset {0, 5}]; // Vincenzo Librandi, May 25 2012
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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