a(n) = max{ C(n,0), C(n-1,1), C(n-2,2), ..., C(n-n,n) }.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =4a(6) =6a(7) =10a(8) =15a(9) =21a(10) =35a(11) =56a(12) =84a(13) =126a(14) =210a(15) =330a(16) =495a(17) =792a(18) =1287a(19) =2002a(20) =3003a(21) =5005a(22) =8008a(23) =12376a(24) =19448a(25) =31824a(26) =50388a(27) =77520a(28) =125970a(29) =203490