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A291894 Number of symmetrically unique Dyck paths of semilength n and height ten. 2

%I

%S 1,10,109,857,5915,36063,202712,1066920,5342964,25702079,119712521,

%T 542946033,2408776681,10490222605,44973252446,190237502710,

%U 795469360671,3293109382032,13514583025521,55040336697141,222657353371499,895378574918015,3581602988204833

%N Number of symmetrically unique Dyck paths of semilength n and height ten.

%H Alois P. Heinz, <a href="/A291894/b291894.txt">Table of n, a(n) for n = 10..1000</a>

%H <a href="/index/Rec#order_21">Index entries for linear recurrences with constant coefficients</a>, signature (20, -163, 650, -932, -2412, 12511, -16162, -16958, 75036, -66056, -52648, 146758, -84808, -40683, 74434, -29145, -4672, 7199, -2242, 286, -12).

%F 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)).

%Y Column k=10 of A291883.

%K nonn,easy

%O 10,2

%A _Alois P. Heinz_, Sep 05 2017

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Last modified November 12 04:21 EST 2019. Contains 329051 sequences. (Running on oeis4.)