Number of peakless Motzkin paths with no U H^j U, no D H^j D and no D H^jU (j>0), where U=(1,1), D=(1,-1) and H=(1,0) (can be easily expressed using RNA secondary structure terminology).

A098057

Number of peakless Motzkin paths with no U H^j U, no D H^j D and no D H^jU (j>0), where U=(1,1), D=(1,-1) and H=(1,0) (can be easily expressed using RNA secondary structure terminology).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =8a(6) =15a(7) =27a(8) =48a(9) =84a(10) =147a(11) =257a(12) =451a(13) =796a(14) =1413a(15) =2526a(16) =4544a(17) =8226a(18) =14978a(19) =27417a(20) =50434a(21) =93183a(22) =172865a(23) =321857a(24) =601263a(25) =1126644a(26) =2116968a(27) =3987960a(28) =7530200a(29) =14249649

External references