a(n) = binomial(floor(n*(sqrt(5)+1)/2), n) for n>=0.

Terms

a(0) =1a(1) =1a(2) =3a(3) =4a(4) =15a(5) =56a(6) =84a(7) =330a(8) =495a(9) =2002a(10) =8008a(11) =12376a(12) =50388a(13) =203490a(14) =319770a(15) =1307504a(16) =2042975a(17) =8436285a(18) =34597290a(19) =54627300a(20) =225792840a(21) =354817320a(22) =1476337800a(23) =6107086800a(24) =9669554100a(25) =40225345056a(26) =166509721602a(27) =265182149218