A289419 Number of Dyck paths of semilength n and height exactly 6.
1, 11, 75, 410, 1975, 8778, 36938, 149501, 587951, 2262375, 8558854, 31945379, 117939506, 431530926, 1567159901, 5655480303, 20299352107, 72522832282, 258054207727, 914973048634, 3234061126690, 11399437533757, 40081465493919, 140617625960143, 492342898340494
Offset: 6
Links
- Alois P. Heinz, Table of n, a(n) for n = 6..1000
- Index entries for linear recurrences with constant coefficients, signature (11,-46,91,-86,34,-4).
Crossrefs
Column k=6 of A080936.
Formula
G.f.: x^6/((2*x-1)*(2*x^2-4*x+1)*(x^3-6*x^2+5*x-1)).