a(n) = Sum_{k=1..n} -A068341(k+1)*a(n-k), a(0)=1.

Terms

a(0) =1a(1) =2a(2) =5a(3) =10a(4) =22a(5) =42a(6) =85a(7) =162a(8) =314a(9) =588a(10) =1113a(11) =2066a(12) =3847a(13) =7080a(14) =13036a(15) =23824a(16) =43504a(17) =79048a(18) =143441a(19) =259376a(20) =468313a(21) =843352a(22) =1516515a(23) =2721470a(24) =4877165a(25) =8726118a(26) =15593224a(27) =27826634a(28) =49602226a(29) =88316198