Sum of the heights of the first peaks in all dispersed Dyck paths of length n (i.e., in Motzkin paths of length n with no (1,0)-steps at positive heights).

A191307

Sum of the heights of the first peaks in all dispersed Dyck paths of length n (i.e., in Motzkin paths of length n with no (1,0)-steps at positive heights).

Terms

    a(0) =0a(1) =0a(2) =1a(3) =2a(4) =6a(5) =11a(6) =26a(7) =47a(8) =103a(9) =187a(10) =397a(11) =727a(12) =1519a(13) =2806a(14) =5809a(15) =10814a(16) =22254a(17) =41702a(18) =85460a(19) =161042a(20) =329002a(21) =622932a(22) =1269578a(23) =2413644a(24) =4909788a(25) =9367188a(26) =19024888a(27) =36408748a(28) =73850908a(29) =141714823

External references