a(n) = -a(n-1) + a(n-3) + 5*(n-2) for n>2, a(0)=2, a(1)=3, a(2)=4.

Terms

a(0) =2a(1) =3a(2) =4a(3) =8a(4) =10a(5) =14a(6) =19a(7) =21a(8) =28a(9) =31a(10) =35a(11) =43a(12) =43a(13) =52a(14) =56a(15) =57a(16) =70a(17) =66a(18) =76a(19) =84a(20) =77a(21) =99a(22) =90a(23) =97a(24) =117a(25) =93a(26) =129a(27) =118a(28) =110a(29) =159