a(n) = largest sqrt(2*n)-smooth divisor of binomial(2*n, n).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =2a(5) =36a(6) =12a(7) =24a(8) =18a(9) =4a(10) =4a(11) =24a(12) =4a(13) =200a(14) =5400a(15) =720a(16) =90a(17) =540a(18) =300a(19) =600a(20) =180a(21) =120a(22) =120a(23) =10800a(24) =900a(25) =3528a(26) =10584a(27) =784a(28) =280a(29) =1680