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A289423
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Number of Dyck paths of semilength n and height exactly 10.
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2
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1, 19, 207, 1702, 11753, 72036, 404984, 2133296, 10683684, 51401251, 239414383, 1085877703, 4817505085, 20980377935, 89946293430, 380474702119, 1590937817465, 6586217434917, 27029162258043, 110080667694767, 445314691051823, 1790757125809356, 7163205912228257
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OFFSET
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10,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (19,-154,695,-1912,3300,-3544,2269,-791,125,-6).
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FORMULA
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G.f.: x^10/((x-1)*(3*x-1)*(2*x-1)*(x^2-4*x+1)*(x^5-15*x^4+35*x^3 -28*x^2 +9*x-1)).
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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