A289423 Number of Dyck paths of semilength n and height exactly 10.
1, 19, 207, 1702, 11753, 72036, 404984, 2133296, 10683684, 51401251, 239414383, 1085877703, 4817505085, 20980377935, 89946293430, 380474702119, 1590937817465, 6586217434917, 27029162258043, 110080667694767, 445314691051823, 1790757125809356, 7163205912228257
Offset: 10
Links
- Alois P. Heinz, Table of n, a(n) for n = 10..1000
- Index entries for linear recurrences with constant coefficients, signature (19,-154,695,-1912,3300,-3544,2269,-791,125,-6).
Crossrefs
Column k=10 of A080936.
Formula
G.f.: x^10/((x-1)*(3*x-1)*(2*x-1)*(x^2-4*x+1)*(x^5-15*x^4+35*x^3 -28*x^2 +9*x-1)).