Number of peaks at odd levels in all hill-free Dyck paths of semilength n+3 (a hill in a Dyck path is a peak at level 1).

A114587

Number of peaks at odd levels in all hill-free Dyck paths of semilength n+3 (a hill in a Dyck path is a peak at level 1).

Terms

    a(0) =1a(1) =4a(2) =17a(3) =68a(4) =269a(5) =1056a(6) =4132a(7) =16144a(8) =63046a(9) =246228a(10) =962019a(11) =3760700a(12) =14710589a(13) =57581696a(14) =225546488a(15) =884059808a(16) =3467476430a(17) =13608852968a(18) =53443415522a(19) =210000136136a(20) =825630208466

External references