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

Terms

a(0) =2a(1) =1a(2) =4a(3) =3a(4) =7a(5) =9a(6) =5a(7) =11a(8) =6a(9) =14a(10) =8a(11) =16a(12) =18a(13) =10a(14) =21a(15) =12a(16) =23a(17) =13a(18) =26a(19) =28a(20) =15a(21) =30a(22) =17a(23) =33a(24) =35a(25) =19a(26) =37a(27) =20a(28) =40a(29) =22