a(n) = T(n,m) + T(n,m+1) + ... + T(n,n), m=[ (n+1)/2 ], T given by A026769.

Terms

a(0) =1a(1) =1a(2) =3a(3) =4a(4) =12a(5) =17a(6) =51a(7) =74a(8) =224a(9) =328a(10) =1008a(11) =1478a(12) =4630a(13) =6767a(14) =21663a(15) =31472a(16) =103100a(17) =148642a(18) =498520a(19) =712648a(20) =2446218a(21) =3466398a(22) =12167456a(23) =17093556a(24) =61276838a(25) =85380372a(26) =312096590a(27) =431554188a(28) =1605820974a(29) =2205077509