login
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
OFFSET
8,2
LINKS
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: A043086 A003364 A376053 * A217328 A193102 A038145
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Sep 05 2017
STATUS
approved