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A097261
Numbers whose set of base 15 digits is {0,E}, where E base 15 = 14 base 10.
3
0, 14, 210, 224, 3150, 3164, 3360, 3374, 47250, 47264, 47460, 47474, 50400, 50414, 50610, 50624, 708750, 708764, 708960, 708974, 711900, 711914, 712110, 712124, 756000, 756014, 756210, 756224, 759150, 759164, 759360, 759374, 10631250
OFFSET
0,2
COMMENTS
n such that there exists a permutation p_1, ..., p_n of 1, ..., n such that i + p_i is a power of 15 for every i.
LINKS
FORMULA
a(n) = 14*A033051(n).
a(2n) = 15*a(n), a(2n+1) = a(2n)+14.
MATHEMATICA
f[n_] := FromDigits[ IntegerDigits[n, 2] /. {1 -> 14}, 15]; Array[f, 33, 0] (* or *)
FromDigits[#, 15] & /@ Tuples[{0, 14}, 6] (* Harvey P. Dale, Sep 22 2011 *) (* or much slower *)
fQ[n_] := Union@ Join[{0, 14}, IntegerDigits[n, 15]] == {0, 14}; Select[ Range[0, 10634414 ], fQ] (* Robert G. Wilson v, May 12 2012 *)
PROG
(Magma) [n: n in [0..4500000] | Set(IntegerToSequence(n, 15)) subset {0, 14}]; // Vincenzo Librandi, Jun 05 2012
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Ray Chandler, Aug 03 2004
STATUS
approved