Number of UH^jU's, DH^jD's, and DH^jU's for some j>0, in all peakless Motzkin paths of length n (here U=(1,1), D=(1,-1) and H=(1,0); can be easily expressed using RNA secondary structure terminology).

A187259

Number of UH^jU's, DH^jD's, and DH^jU's for some j>0, in all peakless Motzkin paths of length n (here U=(1,1), D=(1,-1) and H=(1,0); can be easily expressed using RNA secondary structure terminology).

Terms

    a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =2a(7) =11a(8) =39a(9) =122a(10) =358a(11) =1008a(12) =2770a(13) =7493a(14) =20049a(15) =53239a(16) =140603a(17) =369837a(18) =969883a(19) =2537685a(20) =6628215a(21) =17288950a(22) =45048932a(23) =117285552a(24) =305159262a(25) =793581817a(26) =2062948149a(27) =5361112383a(28) =13929080271a(29) =36183941553

External references