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A136780 Number of primitive multiplex juggling sequences of length n, base state <1,1,1> and hand capacity 2. 2

%I

%S 1,2,13,68,358,1871,9757,50825,264622,1377455,7169434,37314044,

%T 194200651,1010706167,5260139653,27375923678,142475405353,

%U 741499470476,3859061584762,20084107492055,104525763472957,543994053280925,2831163512738434,14734511818610939

%N Number of primitive multiplex juggling sequences of length n, base state <1,1,1> and hand capacity 2.

%H Colin Barker, <a href="/A136780/b136780.txt">Table of n, a(n) for n = 1..1000</a>

%H S. Butler and R. Graham, <a href="http://arXiv.org/abs/0801.2597">Enumerating (multiplex) juggling sequences</a>, arXiv:0801.2597 [math.CO], 2008.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (7,-8,-7).

%F G.f.: (x-5*x^2+7*x^3)/(1-7*x+8*x^2+7*x^3).

%F a(n) = 7*a(n-1)-8*a(n-2)-7*a(n-3) for n>3. - _Colin Barker_, Aug 31 2016

%o (PARI) Vec((x-5*x^2+7*x^3)/(1-7*x+8*x^2+7*x^3) + O(x^30)) \\ _Colin Barker_, Aug 31 2016

%Y Cf. A136779.

%K nonn,easy

%O 1,2

%A _Steve Butler_, Jan 21 2008

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Last modified June 1 20:49 EDT 2020. Contains 334765 sequences. (Running on oeis4.)