Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n and containing a total of k level steps H in all DHH...HU's, where U=(1,1), H=(1,0) and D=(1,-1) (can be easily expressed using RNA secondary structure terminology).

A097107

Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n and containing a total of k level steps H in all DHH...HU's, where U=(1,1), H=(1,0) and D=(1,-1) (can be easily expressed using RNA secondary structure terminology).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =8a(6) =17a(7) =36a(8) =1a(9) =77a(10) =4a(11) =1a(12) =167a(13) =13a(14) =4a(15) =1a(16) =365a(17) =40a(18) =13a(19) =4a(20) =1a(21) =805a(22) =114a(23) =41a(24) =13a(25) =4a(26) =1a(27) =1790a(28) =314a(29) =119

External references