Binomial transform of [1,3,5,6,7,8,9,10,11,...] (i.e., positive integers except 2 and 4).

Terms

a(0) =1a(1) =4a(2) =12a(3) =31a(4) =74a(5) =169a(6) =376a(7) =823a(8) =1782a(9) =3829a(10) =8180a(11) =17395a(12) =36850a(13) =77809a(14) =163824a(15) =344047a(16) =720878a(17) =1507309a(18) =3145708a(19) =6553579a(20) =13631466a(21) =28311529a(22) =58720232a(23) =121634791a(24) =251658214a(25) =520093669a(26) =1073741796a(27) =2214592483a(28) =4563402722