A289423 - OEIS

%I #5 Jul 06 2017 10:41:08

%S 1,19,207,1702,11753,72036,404984,2133296,10683684,51401251,239414383,

%T 1085877703,4817505085,20980377935,89946293430,380474702119,

%U 1590937817465,6586217434917,27029162258043,110080667694767,445314691051823,1790757125809356,7163205912228257

%N Number of Dyck paths of semilength n and height exactly 10.

%H Alois P. Heinz, <a href="/A289423/b289423.txt">Table of n, a(n) for n = 10..1000</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (19,-154,695,-1912,3300,-3544,2269,-791,125,-6).

%F 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)).

%Y Column k=10 of A080936.

%K nonn,easy

%O 10,2

%A _Alois P. Heinz_, Jul 06 2017