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

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

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: A327133 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