Padovan like sequence: a(n) = a(n-2) + a(n-3) for n>3, a(1)=2, a(2)=2, a(3)=0.

Terms

a(0) =2a(1) =2a(2) =0a(3) =4a(4) =2a(5) =4a(6) =6a(7) =6a(8) =10a(9) =12a(10) =16a(11) =22a(12) =28a(13) =38a(14) =50a(15) =66a(16) =88a(17) =116a(18) =154a(19) =204a(20) =270a(21) =358a(22) =474a(23) =628a(24) =832a(25) =1102a(26) =1460a(27) =1934a(28) =2562a(29) =3394