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 A291889 Number of symmetrically unique Dyck paths of semilength n and height five. 2

%I #7 Sep 09 2017 12:44:41

%S 1,5,29,127,540,2117,8063,29688,107237,380549,1333709,4624308,

%T 15899625,54278502,184209808,622029353,2091461574,7006165827,

%U 23394683289,77899483723,258750654760,857596024194,2836911700038,9368339478043,30889646001696,101710568454396

%N Number of symmetrically unique Dyck paths of semilength n and height five.

%H Alois P. Heinz, <a href="/A291889/b291889.txt">Table of n, a(n) for n = 5..1000</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -33, 20, 113, -234, 66, 224, -240, 84, -9).

%F G.f.: -x^5*(18*x^3-14*x^4+3*x^5-12*x^2+5*x-1) / ((x-1) *(3*x-1) *(3*x^2-1) *(x^3-2*x^2-x+1) *(x^3-6*x^2+5*x-1)).

%Y Column k=5 of A291883.

%K nonn,easy

%O 5,2

%A _Alois P. Heinz_, Sep 05 2017

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Last modified May 24 23:50 EDT 2024. Contains 372782 sequences. (Running on oeis4.)