a(n) = ceiling(A117791(n)/2).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =3a(6) =5a(7) =7a(8) =10a(9) =15a(10) =23a(11) =34a(12) =51a(13) =77a(14) =115a(15) =173a(16) =259a(17) =389a(18) =584a(19) =877a(20) =1317a(21) =1978a(22) =2970a(23) =4459a(24) =6696a(25) =10054a(26) =15097a(27) =22670a(28) =34041a(29) =51115