A variant of A008336 based on polynomials over GF(2) (see Comments for precise definition).

Terms

a(0) =1a(1) =2a(2) =6a(3) =24a(4) =120a(5) =20a(6) =108a(7) =864a(8) =96a(9) =960a(10) =6720a(11) =624a(12) =6192a(13) =37152a(14) =491232a(15) =30702a(16) =1806a(17) =127a(18) =1905a(19) =27348a(20) =486596a(21) =25102a(22) =1890a(23) =19760a(24) =456624a(25) =5581280a(26) =439712a(27) =21624a(28) =451032a(29) =5199760