Boustrophedon transform of 1,1,2,3,4,5,...

Terms

a(0) =1a(1) =2a(2) =5a(3) =14a(4) =41a(5) =136a(6) =523a(7) =2330a(8) =11857a(9) =67912a(10) =432291a(11) =3027166a(12) =23125673a(13) =191389108a(14) =1705788659a(15) =16289080922a(16) =165919213089