Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n containing k subwords of the type U H^j U or D H^j D for some j>0, where U=(1,1), H=(1,0) and D=(1,-1) (can be easily expressed using RNA secondary structure terminology).

A097100

Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n containing k subwords of the type U H^j U or D H^j D for some j>0, 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) =15a(7) =2a(8) =28a(9) =8a(10) =1a(11) =53a(12) =24a(13) =5a(14) =102a(15) =62a(16) =21a(17) =199a(18) =152a(19) =68a(20) =4a(21) =391a(22) =366a(23) =196a(24) =24a(25) =1a(26) =773a(27) =868a(28) =531a(29) =104

External references