Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-8).

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =8a(7) =13a(8) =21a(9) =33a(10) =53a(11) =84a(12) =134a(13) =213a(14) =339a(15) =539a(16) =857a(17) =1363a(18) =2167a(19) =3446a(20) =5479a(21) =8712a(22) =13852a(23) =22025a(24) =35020a(25) =55682a(26) =88535a(27) =140771a(28) =223827a(29) =355886