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A291894 Number of symmetrically unique Dyck paths of semilength n and height ten. 2
1, 10, 109, 857, 5915, 36063, 202712, 1066920, 5342964, 25702079, 119712521, 542946033, 2408776681, 10490222605, 44973252446, 190237502710, 795469360671, 3293109382032, 13514583025521, 55040336697141, 222657353371499, 895378574918015, 3581602988204833 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..1000

Index entries for linear recurrences with constant coefficients, signature (20, -163, 650, -932, -2412, 12511, -16162, -16958, 75036, -66056, -52648, 146758, -84808, -40683, 74434, -29145, -4672, 7199, -2242, 286, -12).

FORMULA

G.f.: x^10*(1-10*x +72*x^2 -343*x^3 +974*x^4 -1664*x^5 +1744*x^6 -1117*x^7 +413*x^8 -70*x^9 +x^11) / ((x-1) *(3*x-1) *(2*x-1) *(x^2-4*x+1) *(2*x^2-1) *(x^5-3*x^4-3*x^3+4*x^2+x-1) *(x^5-15*x^4+35*x^3-28*x^2+9*x-1) *(x^4-4*x^2+1)).

CROSSREFS

Column k=10 of A291883.

Sequence in context: A246073 A261920 A024527 * A217322 A198700 A320094

Adjacent sequences:  A291891 A291892 A291893 * A291895 A291896 A291897

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Sep 05 2017

STATUS

approved

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Last modified October 13 16:50 EDT 2019. Contains 327968 sequences. (Running on oeis4.)