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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
(list;
graph;
refs;
listen;
history;
text;
internal format)
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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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Vincenzo Librandi, Table of n, a(n) for n = 0..500
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FORMULA
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a(n) = 5*A033043(n).
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 *)
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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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Cf. A001196, A005823, A007088, A097251-A097262.
Sequence in context: A134166 A154522 A222463 * A206329 A043886 A044463
Adjacent sequences: A097249 A097250 A097251 * A097253 A097254 A097255
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KEYWORD
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nonn,base
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AUTHOR
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Ray Chandler, Aug 3 2004
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STATUS
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approved
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