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A026255 Beginning with the natural numbers, swap [ k*sqrt(3) ] and [ (k/2)*(3 + sqrt(3)) ], for all k >= 1. 8

%I #14 Feb 22 2013 21:36:40

%S 2,1,4,3,7,9,5,11,6,14,8,16,18,10,21,12,23,13,26,28,15,30,17,33,35,19,

%T 37,20,40,22,42,44,24,47,25,49,27,52,54,29,56,31,59,32,61,63,34,66,36,

%U 68,70,38,73,39,75,41,78,80,43,82,45,85,46

%N Beginning with the natural numbers, swap [ k*sqrt(3) ] and [ (k/2)*(3 + sqrt(3)) ], for all k >= 1.

%C Self-inverse integer permutation induced by Beatty sequences for sqrt(3) and (3+sqrt(3))/2. - _Reinhard Zumkeller_, Jun 11 2005

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%H <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>

%F a(A022838(n)) = A054406(n) and a(A054406(n)) = A022838(n). - _Reinhard Zumkeller_, Jun 11 2005

%Y Cf. A026250, A026262.

%K nonn

%O 1,1

%A _Clark Kimberling_

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)