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 A291888 Number of symmetrically unique Dyck paths of semilength n and height four. 2

%I #6 Sep 09 2017 12:46:30

%S 1,4,19,69,252,855,2867,9339,30085,95524,300796,939228,2915481,

%T 9001380,27675779,84782673,258956584,788926699,2398385803,7277878707,

%U 22050326805,66718218120,201640080056,608808949752,1836608777233,5536482441124,16679237438035

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

%H Alois P. Heinz, <a href="/A291888/b291888.txt">Table of n, a(n) for n = 4..1000</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8, -19, -2, 66, -76, 3, 30, -9).

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

%Y Column k=4 of A291883.

%K nonn,easy

%O 4,2

%A _Alois P. Heinz_, Sep 05 2017

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Last modified April 15 00:51 EDT 2024. Contains 371667 sequences. (Running on oeis4.)