cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A026262 Beginning with the natural numbers, swap [ k*sqrt(5) ] and [ (k/4)*(5 + sqrt(5)) ], for all k >= 1.

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%I A026262 #13 Feb 16 2025 08:32:35
%S A026262 2,1,4,3,6,5,8,7,11,13,9,15,10,17,12,20,14,22,24,16,26,18,29,19,31,21,
%T A026262 33,35,23,38,25,40,27,42,28,44,46,30,49,32,51,34,53,36,55,37,58,60,39,
%U A026262 62,41,64,43,67,45,69,71,47,73,48,76,50,78
%N A026262 Beginning with the natural numbers, swap [ k*sqrt(5) ] and [ (k/4)*(5 + sqrt(5)) ], for all k >= 1.
%C A026262 Self-inverse integer permutation induced by Beatty sequences for sqrt(5) and (5+sqrt(5))/4. - _Reinhard Zumkeller_, Jun 11 2005
%H A026262 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence</a>
%H A026262 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%H A026262 <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>
%F A026262 a(A022839(n))=A108598(n) and a(A108598(n))=A022839(n). - _Reinhard Zumkeller_, Jun 11 2005
%Y A026262 Cf. A026250, A026255.
%K A026262 nonn
%O A026262 1,1
%A A026262 _Clark Kimberling_