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A291888
Number of symmetrically unique Dyck paths of semilength n and height four.
2
1, 4, 19, 69, 252, 855, 2867, 9339, 30085, 95524, 300796, 939228, 2915481, 9001380, 27675779, 84782673, 258956584, 788926699, 2398385803, 7277878707, 22050326805, 66718218120, 201640080056, 608808949752, 1836608777233, 5536482441124, 16679237438035
OFFSET
4,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (8, -19, -2, 66, -76, 3, 30, -9).
FORMULA
G.f.: x^4*(3*x^4-5*x^3+6*x^2-4*x+1)/((x-1)*(3*x-1)*(x^2-3*x+1)*(3*x^2-1)*(x^2+x-1)).
CROSSREFS
Column k=4 of A291883.
Sequence in context: A000306 A100185 A357251 * A217324 A129019 A167247
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Sep 05 2017
STATUS
approved