T(n,[ n/2 ]), where T is defined in A026022.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =10a(6) =20a(7) =35a(8) =69a(9) =125a(10) =242a(11) =451a(12) =858a(13) =1638a(14) =3068a(15) =5980a(16) =11050a(17) =21930a(18) =40052a(19) =80750a(20) =145996a(21) =298452a(22) =534888a(23) =1106921a(24) =1968685a(25) =4118725a(26) =7276050a(27) =15371475a(28) =26993490a(29) =57528750