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A289423 Number of Dyck paths of semilength n and height exactly 10. 2
1, 19, 207, 1702, 11753, 72036, 404984, 2133296, 10683684, 51401251, 239414383, 1085877703, 4817505085, 20980377935, 89946293430, 380474702119, 1590937817465, 6586217434917, 27029162258043, 110080667694767, 445314691051823, 1790757125809356, 7163205912228257 (list; graph; refs; listen; history; text; internal format)
OFFSET
10,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (19,-154,695,-1912,3300,-3544,2269,-791,125,-6).
FORMULA
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)).
CROSSREFS
Column k=10 of A080936.
Sequence in context: A002501 A180364 A125407 * A278556 A023017 A022647
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Jul 06 2017
STATUS
approved

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Last modified May 26 01:31 EDT 2024. Contains 372807 sequences. (Running on oeis4.)