a(n) is the total number of runs of ascents over all flattened Catalan words of length n.

A372852

a(n) is the total number of runs of ascents over all flattened Catalan words of length n.

Terms

    a(0) =1a(1) =3a(2) =10a(3) =35a(4) =123a(5) =427a(6) =1460a(7) =4923a(8) =16405a(9) =54131a(10) =177150a(11) =575731a(12) =1860047a(13) =5978715a(14) =19131880a(15) =60982859a(16) =193710249a(17) =613415779a(18) =1937102450a(19) =6101872707a(20) =19177314211a(21) =60147030923a(22) =188286357660a(23) =588394867675

External references