Binomial transform of A003603.

Terms

a(0) =1a(1) =2a(2) =4a(3) =9a(4) =20a(5) =44a(6) =97a(7) =212a(8) =455a(9) =961a(10) =2014a(11) =4219a(12) =8863a(13) =18662a(14) =39298a(15) =82584a(16) =173008a(17) =361321a(18) =752823a(19) =1566271a(20) =3256418a(21) =6768409a(22) =14064705a(23) =29213846a(24) =60634364a(25) =125706899a(26) =260227836a(27) =537737396a(28) =1108954613