Length of the longest perfect parity pattern with n columns.

Terms

a(0) =2a(1) =3a(2) =5a(3) =4a(4) =23a(5) =8a(6) =11a(7) =27a(8) =29a(9) =30a(10) =47a(11) =62a(12) =17a(13) =339a(14) =23a(15) =254a(16) =167a(17) =512a(18) =59a(19) =2339a(20) =185a(21) =2046a(22) =95a(23) =1024a(24) =125a(25) =2043a(26) =35a(27) =3276a(28) =2039a(29) =340