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 A291887 Number of symmetrically unique Dyck paths of semilength n and height three. 2
 1, 3, 11, 31, 91, 250, 690, 1863, 5017, 13389, 35621, 94354, 249352, 657421, 1730685, 4550031, 11950963, 31365810, 82274126, 215711947, 565376593, 1481448697, 3881041065, 10165822434, 26624745964, 69725071281, 182583838181, 478093234315, 1251829592839 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 3..1000 Index entries for linear recurrences with constant coefficients, signature (6, -9, -8, 27, -10, -10, 4). FORMULA G.f.: -x^3*(x^4+2*x^2-3*x+1)/((2*x-1)*(x^2-3*x+1)*(2*x^2-1)*(x^2+x-1)). CROSSREFS Column k=3 of A291883. Sequence in context: A320238 A369399 A108898 * A217323 A263781 A119901 Adjacent sequences: A291884 A291885 A291886 * A291888 A291889 A291890 KEYWORD nonn,easy AUTHOR Alois P. Heinz, Sep 05 2017 STATUS approved

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Last modified April 16 10:23 EDT 2024. Contains 371699 sequences. (Running on oeis4.)