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A291889 Number of symmetrically unique Dyck paths of semilength n and height five. 2
1, 5, 29, 127, 540, 2117, 8063, 29688, 107237, 380549, 1333709, 4624308, 15899625, 54278502, 184209808, 622029353, 2091461574, 7006165827, 23394683289, 77899483723, 258750654760, 857596024194, 2836911700038, 9368339478043, 30889646001696, 101710568454396 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 5..1000

Index entries for linear recurrences with constant coefficients, signature (10, -33, 20, 113, -234, 66, 224, -240, 84, -9).

FORMULA

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)).

CROSSREFS

Column k=5 of A291883.

Sequence in context: A000352 A267921 A241676 * A217325 A034332 A273027

Adjacent sequences:  A291886 A291887 A291888 * A291890 A291891 A291892

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Sep 05 2017

STATUS

approved

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Last modified August 24 14:36 EDT 2019. Contains 326285 sequences. (Running on oeis4.)