Convolution of (F(2), F(3), F(4), ...) and A000201.

Terms

a(0) =1a(1) =5a(2) =13a(3) =28a(4) =55a(5) =100a(6) =175a(7) =298a(8) =499a(9) =827a(10) =1359a(11) =2222a(12) =3621a(13) =5886a(14) =9553a(15) =15488a(16) =25093a(17) =40637a(18) =65789a(19) =106488a(20) =172342a(21) =278898a(22) =451312a(23) =730285a(24) =1181675a(25) =1912042a(26) =3093802a(27) =5005932a(28) =8099825