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A291892 Number of symmetrically unique Dyck paths of semilength n and height eight. 2
1, 8, 71, 461, 2706, 14235, 70161, 327469, 1469596, 6389144, 27097948, 112630404, 460511702, 1857372265, 7406424903, 29250500171, 114576069911, 445647539540, 1722814022086, 6624828067482, 25356181172529, 96650473757117, 367059233827762, 1389476976680608 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..1000

Index entries for linear recurrences with constant coefficients, signature (15, -84, 178, 160, -1436, 1985, 1447, -6220, 4096, 3445, -5665, 1925, 405, -275, 25).

FORMULA

G.f.: x^8*(-1+7*x-35*x^2+110*x^3-171*x^4+113*x^5-25*x^6+5*x^7) / ((x-1) *(x^2-3*x+1) *(5*x^2-5*x+1) *(x^3+3*x^2-1) *(x^3-9*x^2+6*x-1) *(5*x^4-5*x^2+1)).

CROSSREFS

Column k=8 of A291883.

Sequence in context: A020532 A043086 A003364 * A217328 A193102 A038145

Adjacent sequences:  A291889 A291890 A291891 * A291893 A291894 A291895

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Sep 05 2017

STATUS

approved

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Last modified July 18 11:23 EDT 2019. Contains 325138 sequences. (Running on oeis4.)