Moebius transform of A001405 (binomial(n, floor(n/2))).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =16a(6) =34a(7) =64a(8) =123a(9) =241a(10) =461a(11) =900a(12) =1715a(13) =3396a(14) =6423a(15) =12800a(16) =24309a(17) =48477a(18) =92377a(19) =184500a(20) =352679a(21) =704969a(22) =1352077a(23) =2703168a(24) =5200290a(25) =10398883a(26) =20058174a(27) =40113164a(28) =77558759a(29) =155110827