Number of weighted lattice paths B(n) having no uHd strings.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =16a(6) =35a(7) =77a(8) =172a(9) =391a(10) =899a(11) =2085a(12) =4877a(13) =11490a(14) =27236a(15) =64916a(16) =155483a(17) =374027a(18) =903286a(19) =2189219a(20) =5322965a(21) =12980660a(22) =31740404a(23) =77804885a(24) =191160040a(25) =470662449a(26) =1161123461a(27) =2869754099a(28) =7104856781a(29) =17618234456