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A289418
Number of Dyck paths of semilength n and height exactly 5.
2
1, 9, 52, 247, 1053, 4199, 16017, 59224, 214058, 760487, 2665884, 9246276, 31793724, 108548332, 368400045, 1244027317, 4182854728, 14012220027, 46789129817, 155798575851, 517500496981, 1715190689420, 5673820630478, 18736674281091, 61779282616728
OFFSET
5,2
FORMULA
G.f.: -x^5/((x-1)*(3*x-1)*(x^3-6*x^2+5*x-1)).
MATHEMATICA
LinearRecurrence[{9, -29, 40, -22, 3}, {1, 9, 52, 247, 1053}, 40] (* Harvey P. Dale, Dec 07 2018 *)
CROSSREFS
Column k=5 of A080936.
Sequence in context: A172470 A120665 A163941 * A292488 A282179 A278000
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Jul 06 2017
STATUS
approved