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

Terms

a(0) =0a(1) =1a(2) =1a(3) =5a(4) =18a(5) =56a(6) =191a(7) =640a(8) =2133a(9) =7141a(10) =23881a(11) =79850a(12) =267048a(13) =893051a(14) =2986496a(15) =9987385a(16) =33399513a(17) =111693661a(18) =373522786a(19) =1249124120a(20) =4177284903a(21) =13969556096a(22) =46716587501a(23) =156228267805a(24) =522454078593