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

Terms

a(0) =2a(1) =1a(2) =4a(3) =3a(4) =6a(5) =5a(6) =8a(7) =7a(8) =11a(9) =13a(10) =9a(11) =15a(12) =10a(13) =17a(14) =12a(15) =20a(16) =14a(17) =22a(18) =24a(19) =16a(20) =26a(21) =18a(22) =29a(23) =19a(24) =31a(25) =21a(26) =33a(27) =35a(28) =23a(29) =38