The difference between the area under a peakless Motzkin path and the number of its U-steps, summed over all peakless Motzkin paths of length n (n>=0).

A171851

The difference between the area under a peakless Motzkin path and the number of its U-steps, summed over all peakless Motzkin paths of length n (n>=0).

Terms

    a(0) =0a(1) =0a(2) =0a(3) =1a(4) =4a(5) =14a(6) =46a(7) =140a(8) =412a(9) =1186a(10) =3354a(11) =9368a(12) =25920a(13) =71182a(14) =194322a(15) =527927a(16) =1428530a(17) =3852594a(18) =10360700a(19) =27795561a(20) =74414408a(21) =198862280a(22) =530590812a(23) =1413712094a(24) =3762056094a(25) =10000260036a(26) =26556402534a(27) =70459947925a(28) =186796151768

External references