Numbers k such that the binary representations of 1/k and 1/(k+1) have the same period (A007733).

Terms

a(0) =1a(1) =90a(2) =104a(3) =164a(4) =286a(5) =457a(6) =665a(7) =702a(8) =740a(9) =836a(10) =975a(11) =1458a(12) =1469a(13) =1628a(14) =2071a(15) =2146a(16) =2625a(17) =2849a(18) =3800a(19) =4441a(20) =4575a(21) =5233a(22) =5284a(23) =5418a(24) =5715a(25) =6039a(26) =6073a(27) =6387a(28) =6458a(29) =6601