EULER transform of A002620 (with the initial 0,0,1 omitted).

Terms

a(0) =1a(1) =2a(2) =7a(3) =18a(4) =48a(5) =114a(6) =273a(7) =614a(8) =1370a(9) =2952a(10) =6275a(11) =13034a(12) =26725a(13) =53854a(14) =107238a(15) =210670a(16) =409446a(17) =786936a(18) =1498147a(19) =2825084a(20) =5282409a(21) =9795620a(22) =18027645a(23) =32935112a(24) =59760481a(25) =107724038a(26) =192984835a(27) =343676216a(28) =608589028a(29) =1071869694