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A291887 Number of symmetrically unique Dyck paths of semilength n and height three. 2

%I #7 Sep 09 2017 12:48:19

%S 1,3,11,31,91,250,690,1863,5017,13389,35621,94354,249352,657421,

%T 1730685,4550031,11950963,31365810,82274126,215711947,565376593,

%U 1481448697,3881041065,10165822434,26624745964,69725071281,182583838181,478093234315,1251829592839

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

%H Alois P. Heinz, <a href="/A291887/b291887.txt">Table of n, a(n) for n = 3..1000</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (6, -9, -8, 27, -10, -10, 4).

%F G.f.: -x^3*(x^4+2*x^2-3*x+1)/((2*x-1)*(x^2-3*x+1)*(2*x^2-1)*(x^2+x-1)).

%Y Column k=3 of A291883.

%K nonn,easy

%O 3,2

%A _Alois P. Heinz_, Sep 05 2017

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Last modified May 26 05:37 EDT 2024. Contains 372807 sequences. (Running on oeis4.)