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A289420
Number of Dyck paths of semilength n and height exactly 7.
2
1, 13, 102, 629, 3366, 16422, 75140, 328185, 1384345, 5685306, 22863861, 90420110, 352754930, 1360882980, 5201391077, 19724548877, 74300429926, 278279597781, 1037075511926, 3848154018734, 14224439297732, 52402156308977, 192466640908913, 705003243252722
OFFSET
7,2
LINKS
FORMULA
G.f.: -x^7/((x-1)*(2*x-1)*(2*x^2-4*x+1)*(x^3-9*x^2+6*x-1)).
MATHEMATICA
LinearRecurrence[{13, -67, 174, -239, 166, -50, 4}, {1, 13, 102, 629, 3366, 16422, 75140}, 30] (* Harvey P. Dale, Jul 21 2019 *)
CROSSREFS
Column k=7 of A080936.
Sequence in context: A117653 A004635 A369418 * A050670 A142318 A246511
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Jul 06 2017
STATUS
approved