a(n) = T(n,[ n/2 ] - 1), where T is the array in A026120.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =7a(5) =11a(6) =35a(7) =56a(8) =188a(9) =301a(10) =1029a(11) =1652a(12) =5730a(13) =9216a(14) =32292a(15) =52012a(16) =183660a(17) =296142a(18) =1052062a(19) =1697858a(20) =6061247a(21) =9788610a(22) =35085362a(23) =56692748a(24) =203888951a(25) =329605709a(26) =1188784325a(27) =1922517560a(28) =6951007260a(29) =11244886215