The sequence e when b=[ 1,1,0,1,1,... ].

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =3a(6) =5a(7) =7a(8) =9a(9) =11a(10) =15a(11) =19a(12) =25a(13) =31a(14) =39a(15) =49a(16) =61a(17) =73a(18) =91a(19) =111a(20) =135a(21) =163a(22) =197a(23) =235a(24) =283a(25) =335a(26) =399a(27) =473a(28) =559a(29) =655