a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026692.

Terms

a(0) =1a(1) =1a(2) =3a(3) =4a(4) =13a(5) =21a(6) =61a(7) =97a(8) =284a(9) =491a(10) =1360a(11) =2304a(12) =6449a(13) =11558a(14) =31102a(15) =54589a(16) =148614a(17) =272574a(18) =719174a(19) =1292332a(20) =3450546a(21) =6433650a(22) =16729891a(23) =30583194a(24) =80472551a(25) =151929967a(26) =390632864a(27) =723613781a(28) =1882201837a(29) =3588947922