a(n) = Sum_{i=0..floor((n+1)/2)} A047080(n,i).

Terms

a(0) =1a(1) =2a(2) =2a(3) =5a(4) =7a(5) =15a(6) =23a(7) =49a(8) =76a(9) =161a(10) =253a(11) =532a(12) =845a(13) =1766a(14) =2829a(15) =5881a(16) =9488a(17) =19631a(18) =31863a(19) =65649a(20) =107112a(21) =219857a(22) =360360a(23) =737152a(24) =1213150a(25) =2473930a(26) =4086217a(27) =8309252a(28) =13769519a(29) =27927146