Maximum number of binary strings of length 2n obtained from a partition of n.

Terms

a(0) =1a(1) =2a(2) =3a(3) =12a(4) =30a(5) =60a(6) =210a(7) =840a(8) =2520a(9) =7560a(10) =27720a(11) =83160a(12) =240240a(13) =840840a(14) =2702700a(15) =10810800a(16) =36756720a(17) =122522400a(18) =465585120a(19) =1551950400a(20) =4888643760a(21) =19554575040a(22) =74959204320a(23) =257002986240a(24) =936990054000