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 A097262 Numbers whose set of base 16 digits is {0,F}, where F base 16 = 15 base 10. 17
 0, 15, 240, 255, 3840, 3855, 4080, 4095, 61440, 61455, 61680, 61695, 65280, 65295, 65520, 65535, 983040, 983055, 983280, 983295, 986880, 986895, 987120, 987135, 1044480, 1044495, 1044720, 1044735, 1048320, 1048335, 1048560, 1048575 (list; graph; refs; listen; history; text; internal format)
 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 16 for every i. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 FORMULA a(n) = 15*A033052(n). a(2n) = 16*a(n), a(2n+1) = a(2n)+15. MATHEMATICA f[n_] := FromDigits[ IntegerDigits[n, 2] /. {1 -> 15}, 16]; Array[f, 32, 0] (* or *) FromDigits[#, 16] & /@ Tuples[{0, 15}, 6] (* Harvey P. Dale, Sep 22 2011 *) (* or much slower *) fQ[n_] := Union@ Join[{0, 15}, IntegerDigits[n, 16]] == {0, 15}; Select[ Range[0, 11000000 ], fQ] (* Robert G. Wilson v, May 12 2012 *) PROG (MAGMA) [n: n in [0..1110000] | Set(IntegerToSequence(n, 16)) subset {0, 15}]; // Vincenzo Librandi, Jun 05 2012 CROSSREFS Cf. A001196, A005823, A097251-A097261. Sequence in context: A093745 A071811 A157456 * A158557 A220821 A090411 Adjacent sequences:  A097259 A097260 A097261 * A097263 A097264 A097265 KEYWORD nonn,base AUTHOR Ray Chandler, Aug 03 2004 STATUS approved

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Last modified November 25 11:18 EST 2020. Contains 338623 sequences. (Running on oeis4.)