A006516 at positions with even indices, A007582 at positions with odd indices.

Terms

a(0) =0a(1) =1a(2) =1a(3) =3a(4) =6a(5) =10a(6) =28a(7) =36a(8) =120a(9) =136a(10) =496a(11) =528a(12) =2016a(13) =2080a(14) =8128a(15) =8256a(16) =32640a(17) =32896a(18) =130816a(19) =131328a(20) =523776a(21) =524800a(22) =2096128a(23) =2098176a(24) =8386560a(25) =8390656a(26) =33550336a(27) =33558528a(28) =134209536a(29) =134225920