a(0)=1; thereafter a(n+1) = a(n) + number of 1's in binary representation of a(n).

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =7a(5) =10a(6) =12a(7) =14a(8) =17a(9) =19a(10) =22a(11) =25a(12) =28a(13) =31a(14) =36a(15) =38a(16) =41a(17) =44a(18) =47a(19) =52a(20) =55a(21) =60a(22) =64a(23) =65a(24) =67a(25) =70a(26) =73a(27) =76a(28) =79a(29) =84