a(0)=2, a(1)=3, a(n) = 3 + a(n-1) + a(n-2) for n >= 2.

Terms

a(0) =2a(1) =3a(2) =8a(3) =14a(4) =25a(5) =42a(6) =70a(7) =115a(8) =188a(9) =306a(10) =497a(11) =806a(12) =1306a(13) =2115a(14) =3424a(15) =5542a(16) =8969a(17) =14514a(18) =23486a(19) =38003a(20) =61492a(21) =99498a(22) =160993a(23) =260494a(24) =421490a(25) =681987a(26) =1103480a(27) =1785470a(28) =2888953a(29) =4674426