Number of weighted lattice paths of weight n having no (1,0)-steps of weight 1.

Terms

a(0) =1a(1) =0a(2) =1a(3) =2a(4) =1a(5) =6a(6) =7a(7) =12a(8) =31a(9) =40a(10) =91a(11) =170a(12) =281a(13) =602a(14) =1051a(15) =1988a(16) =3907a(17) =7044a(18) =13735a(19) =25962a(20) =48643a(21) =94094a(22) =177145a(23) =338184a(24) =647791a(25) =1228812a(26) =2356927a(27) =4500678a(28) =8595913a(29) =16486966