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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 (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 (9,-29,40,-22,3).

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

Adjacent sequences:  A289415 A289416 A289417 * A289419 A289420 A289421

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Jul 06 2017

STATUS

approved

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Last modified July 6 07:26 EDT 2020. Contains 335476 sequences. (Running on oeis4.)