Numerator of Sum_{k=0..[n/2]} 1/binomial(n,k).

Terms

a(0) =1a(1) =1a(2) =3a(3) =4a(4) =17a(5) =13a(6) =77a(7) =128a(8) =167a(9) =73a(10) =319a(11) =1294a(12) =30697a(13) =28211a(14) =8707a(15) =9728a(16) =17587a(17) =18181a(18) =6517513a(19) =3084316a(20) =5855671a(21) =2786599a(22) =244579999a(23) =116918176a(24) =560006983a(25) =134354573a(26) =3099540819a(27) =745984697a(28) =83423830027a(29) =80530073893