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A289419 Number of Dyck paths of semilength n and height exactly 6. 2
1, 11, 75, 410, 1975, 8778, 36938, 149501, 587951, 2262375, 8558854, 31945379, 117939506, 431530926, 1567159901, 5655480303, 20299352107, 72522832282, 258054207727, 914973048634, 3234061126690, 11399437533757, 40081465493919, 140617625960143, 492342898340494 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..1000

Index entries for linear recurrences with constant coefficients, signature (11,-46,91,-86,34,-4).

FORMULA

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

CROSSREFS

Column k=6 of A080936.

Sequence in context: A044198 A044579 A231917 * A027226 A300925 A157232

Adjacent sequences:  A289416 A289417 A289418 * A289420 A289421 A289422

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Jul 06 2017

STATUS

approved

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Last modified January 25 15:03 EST 2021. Contains 340416 sequences. (Running on oeis4.)