Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UH, HH, HD and DU.

A329693

Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UH, HH, HD and DU.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =3a(6) =4a(7) =6a(8) =9a(9) =13a(10) =21a(11) =31a(12) =50a(13) =78a(14) =123a(15) =200a(16) =315a(17) =517a(18) =831a(19) =1355a(20) =2224a(21) =3620a(22) =5995a(23) =9835a(24) =16291a(25) =27004a(26) =44734a(27) =74625a(28) =124078a(29) =207437

External references