A136782 - OEIS

%I #7 Aug 31 2016 11:26:18

%S 1,2,16,119,934,7463,60145,486605,3943960,31992446,259613953,

%T 2107099586,17103200263,138830852135,1126943433241,9147906485462,

%U 74257943539984,602788362550355,4893134369283898,39720031331092499,322427514601782961,2617306853237874173

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

%H Colin Barker, <a href="/A136782/b136782.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_04">Index entries for linear recurrences with constant coefficients</a>, signature (13,-43,24,27).

%F G.f.: (x-11*x^2+33*x^3-27*x^4)/(1-13*x+43*x^2-24*x^3-27*x^4).

%F a(n) = 13*a(n-1)-43*a(n-2)+24*a(n-3)+27*a(n-4) for n>4. - _Colin Barker_, Aug 31 2016

%o (PARI) Vec((x-11*x^2+33*x^3-27*x^4)/(1-13*x+43*x^2-24*x^3-27*x^4) + O(x^30)) \\ _Colin Barker_, Aug 31 2016

%Y Cf. A136781.

%K nonn,easy

%O 1,2

%A _Steve Butler_, Jan 21 2008