a(n) = ceiling(A003269(n)/2).

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =2a(7) =2a(8) =3a(9) =4a(10) =5a(11) =7a(12) =10a(13) =13a(14) =18a(15) =25a(16) =35a(17) =48a(18) =66a(19) =91a(20) =125a(21) =173a(22) =238a(23) =329a(24) =454a(25) =626a(26) =864a(27) =1193a(28) =1646a(29) =2272