STIRLING transform of [1,1,2,4,8,16,32,...].

Terms

a(0) =1a(1) =1a(2) =3a(3) =11a(4) =47a(5) =227a(6) =1215a(7) =7107a(8) =44959a(9) =305091a(10) =2206399a(11) =16913987a(12) =136823263a(13) =1163490499a(14) =10366252031a(15) =96491364675a(16) =935976996127