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

Terms

a(0) =0a(1) =1a(2) =2a(3) =7a(4) =25a(5) =81a(6) =272a(7) =912a(8) =3045a(9) =10186a(10) =34067a(11) =113917a(12) =380965a(13) =1274016a(14) =4260512a(15) =14247897a(16) =47647410a(17) =159341071a(18) =532863857a(19) =1781987977a(20) =5959272880a(21) =19928828976a(22) =66645416477a(23) =222873684282a(24) =745327762875