A282133(n)/2.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =1a(8) =0a(9) =0a(10) =1a(11) =1a(12) =2a(13) =5a(14) =6a(15) =7a(16) =14a(17) =19a(18) =28a(19) =42a(20) =62a(21) =92a(22) =132a(23) =187a(24) =272a(25) =418a(26) =595a(27) =873a(28) =1272a(29) =1856