a(n) is the maximum value of binomial(n-2*k,k) with 0 <= k <= floor(n/3).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =4a(7) =5a(8) =6a(9) =10a(10) =15a(11) =21a(12) =28a(13) =36a(14) =56a(15) =84a(16) =120a(17) =165a(18) =220a(19) =330a(20) =495a(21) =715a(22) =1001a(23) =1365a(24) =2002a(25) =3003a(26) =4368a(27) =6188a(28) =8568a(29) =12376