Sequence that except for initial 1 is the complement of its inverse binomial transform.

Terms

a(0) =1a(1) =3a(2) =9a(3) =24a(4) =59a(5) =138a(6) =313a(7) =697a(8) =1536a(9) =3364a(10) =7333a(11) =15910a(12) =34341a(13) =73714a(14) =157349a(15) =334099a(16) =705986a(17) =1485532a(18) =3114529a(19) =6509784a(20) =13571007a(21) =28229371a(22) =58610200a(23) =121489570a(24) =251470489a(25) =519863440a(26) =1073511567a(27) =2214592484a(28) =4564586763a(29) =9401093855