a(1) = 1, a(2n) = A065090(1+a(n)), a(2n+1) = A000040(a(A064989(2n+1))).

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =6a(6) =11a(7) =8a(8) =7a(9) =9a(10) =31a(11) =10a(12) =127a(13) =18a(14) =13a(15) =14a(16) =709a(17) =12a(18) =5381a(19) =15a(20) =23a(21) =45a(22) =52711a(23) =16a(24) =17a(25) =165a(26) =19a(27) =27a(28) =648391a(29) =21