Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-6).

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =8a(7) =12a(8) =19a(9) =29a(10) =45a(11) =69a(12) =106a(13) =163a(14) =250a(15) =384a(16) =589a(17) =904a(18) =1387a(19) =2128a(20) =3265a(21) =5009a(22) =7685a(23) =11790a(24) =18088a(25) =27750a(26) =42573a(27) =65314a(28) =100202a(29) =153726