A transform of the central binomial coefficients C(n,floor(n/2)).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =21a(6) =49a(7) =113a(8) =259a(9) =595a(10) =1376a(11) =3202a(12) =7479a(13) =17499a(14) =40986a(15) =96116a(16) =225755a(17) =531115a(18) =1251310a(19) =2951556a(20) =6968883a(21) =16468775a(22) =38951925a(23) =92204241a(24) =218426037a(25) =517799861a(26) =1228280392a(27) =2915346934a(28) =6923469409a(29) =16450694861