Numbers all of whose divisors are odious numbers (A000069) with a record number of divisors.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =28a(6) =56a(7) =112a(8) =224a(9) =448a(10) =728a(11) =1456a(12) =2912a(13) =5824a(14) =10192a(15) =11648a(16) =20384a(17) =27664a(18) =40768a(19) =55328a(20) =110656a(21) =221312a(22) =442624a(23) =885248a(24) =1263808a(25) =1770496a(26) =2527616a(27) =5055232a(28) =8077888a(29) =10110464