Boustrophedon transform of sequence 1,1,0,0,0,0,...

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =13a(5) =41a(6) =157a(7) =699a(8) =3561a(9) =20401a(10) =129881a(11) =909523a(12) =6948269a(13) =57504201a(14) =512516565a(15) =4894172027a(16) =49851629137a(17) =539521049441