Boustrophedon transform of 1,1,2,4,8,16,32,...

Terms

a(0) =1a(1) =2a(2) =5a(3) =15a(4) =49a(5) =177a(6) =715a(7) =3255a(8) =16689a(9) =95777a(10) =609875a(11) =4270695a(12) =32624329a(13) =269995377a(14) =2406363835a(15) =22979029335a(16) =234062319969