Each term is the smallest prime > the sum of the previous 2 terms.

Terms

a(0) =1a(1) =1a(2) =3a(3) =5a(4) =11a(5) =17a(6) =29a(7) =47a(8) =79a(9) =127a(10) =211a(11) =347a(12) =563a(13) =911a(14) =1481a(15) =2393a(16) =3877a(17) =6271a(18) =10151a(19) =16427a(20) =26591a(21) =43019a(22) =69623a(23) =112643a(24) =182279a(25) =294923a(26) =477209a(27) =772139a(28) =1249361a(29) =2021501