a(n) = a(n-1) + a(n-3) + a(n-5), with a(1..5) = 1.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =3a(6) =5a(7) =7a(8) =11a(9) =17a(10) =27a(11) =43a(12) =67a(13) =105a(14) =165a(15) =259a(16) =407a(17) =639a(18) =1003a(19) =1575a(20) =2473a(21) =3883a(22) =6097a(23) =9573a(24) =15031a(25) =23601a(26) =37057a(27) =58185a(28) =91359a(29) =143447