Pisot sequence E(3,13): a(n) = floor(a(n-1)^2/a(n-2) + 1/2).

Terms

a(0) =3a(1) =13a(2) =56a(3) =241a(4) =1037a(5) =4462a(6) =19199a(7) =82609a(8) =355448a(9) =1529413a(10) =6580721a(11) =28315366a(12) =121834667a(13) =524227237a(14) =2255632184a(15) =9705479209a(16) =41760499493a(17) =179686059838a(18) =773148800711