a(1)=2, a(2)=3; a(n) is the smallest k > a(n-1) such that k + a(n-1) is a multiple of a(n-2).

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =8a(5) =13a(6) =19a(7) =20a(8) =37a(9) =43a(10) =68a(11) =104a(12) =168a(13) =248a(14) =256a(15) =488a(16) =536a(17) =928a(18) =1216a(19) =1568a(20) =2080a(21) =2624a(22) =3616a(23) =4256a(24) =6592a(25) =10432a(26) =15936a(27) =25792a(28) =37952a(29) =39424