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Self-inverse integer permutation induced by Beatty sequences for sqrt(2)^sqrt(2) and sqrt(2)^sqrt(2)/(sqrt(2)^sqrt(2)-1).
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%I #13 Jul 06 2020 20:20:27

%S 2,1,5,7,3,10,4,12,15,6,18,8,20,23,9,25,28,11,30,13,33,36,14,38,16,41,

%T 43,17,46,19,49,51,21,54,56,22,59,24,61,64,26,67,27,69,72,29,74,77,31,

%U 80,32,82,85,34,87,35,90,92,37,95,39,98,100,40,103

%N Self-inverse integer permutation induced by Beatty sequences for sqrt(2)^sqrt(2) and sqrt(2)^sqrt(2)/(sqrt(2)^sqrt(2)-1).

%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(A109259(n))=A109260(n) and a(A109260(n))=A109259(n).

%Y Cf. A109259, A109260.

%Y Cf. A078333 (sqrt(2)^sqrt(2)).

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Jun 23 2005