Diagonals of Pascal's triangle mod 2 interpreted as binary numbers.

Terms

a(0) =1a(1) =1a(2) =3a(3) =2a(4) =7a(5) =5a(6) =13a(7) =8a(8) =29a(9) =21a(10) =55a(11) =34a(12) =115a(13) =81a(14) =209a(15) =128a(16) =465a(17) =337a(18) =883a(19) =546a(20) =1847a(21) =1301a(22) =3357a(23) =2056a(24) =7437a(25) =5381a(26) =14087a(27) =8706a(28) =29443a(29) =20737