From a counter moving problem.

Terms

a(0) =1a(1) =2a(2) =3a(3) =8a(4) =13a(5) =24a(6) =37a(7) =66a(8) =107a(9) =186a(10) =303a(11) =516a(12) =849a(13) =1436a(14) =2377a(15) =3998a(16) =6639a(17) =11134a(18) =18531a(19) =31024a(20) =51701a(21) =86464a(22) =144205a(23) =241018a(24) =402163a(25) =671906a(26) =1121463a(27) =1873244a(28) =3127129a(29) =5222724