Convolution of (F(2), F(3), F(4), ...) and A001950.

Terms

a(0) =2a(1) =9a(2) =23a(3) =49a(4) =95a(5) =172a(6) =300a(7) =510a(8) =853a(9) =1412a(10) =2319a(11) =3790a(12) =6174a(13) =10034a(14) =16283a(15) =26397a(16) =42765a(17) =69253a(18) =112114a(19) =181468a(20) =293688a(21) =475267a(22) =769072a(23) =1244461a(24) =2013660a(25) =3258254a(26) =5272052a(27) =8530449