Inverse Euler transform of A000016.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =2a(5) =1a(6) =4a(7) =4a(8) =12a(9) =15a(10) =34a(11) =55a(12) =110a(13) =190a(14) =370a(15) =664a(16) =1272a(17) =2350a(18) =4466a(19) =8372a(20) =15926a(21) =30105a(22) =57390a(23) =109202a(24) =208738a(25) =398985a(26) =764906a(27) =1467370a(28) =2820770a(29) =5427543