Binomial transform of A101910, where A101910(n) = a(A000120(n-1)) for n>0 with A101910(0) = 1.

Terms

a(0) =1a(1) =2a(2) =5a(3) =12a(4) =30a(5) =73a(6) =169a(7) =377a(8) =831a(9) =1842a(10) =4110a(11) =9136a(12) =20006a(13) =42906a(14) =90148a(15) =186414a(16) =381955a(17) =780966a(18) =1603330a(19) =3319952a(20) =6949554a(21) =14704880a(22) =31379910a(23) =67272276a(24) =144212735a(25) =307752571a(26) =651353609a(27) =1363714711a(28) =2820488954a(29) =5761343912