Binomial transform of A038507.

Terms

a(0) =2a(1) =4a(2) =9a(3) =24a(4) =81a(5) =358a(6) =2021a(7) =13828a(8) =109857a(9) =986922a(10) =9865125a(11) =108507160a(12) =1302065441a(13) =16926805678a(14) =236975181189