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

A329690

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

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =3a(5) =2a(6) =5a(7) =9a(8) =8a(9) =10a(10) =23a(11) =32a(12) =32a(13) =56a(14) =106a(15) =131a(16) =164a(17) =310a(18) =499a(19) =617a(20) =932a(21) =1682a(22) =2451a(23) =3269a(24) =5426a(25) =9067a(26) =12757a(27) =18650a(28) =31507a(29) =49381

External references