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A136780 Number of primitive multiplex juggling sequences of length n, base state <1,1,1> and hand capacity 2. 2
1, 2, 13, 68, 358, 1871, 9757, 50825, 264622, 1377455, 7169434, 37314044, 194200651, 1010706167, 5260139653, 27375923678, 142475405353, 741499470476, 3859061584762, 20084107492055, 104525763472957, 543994053280925, 2831163512738434, 14734511818610939 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

S. Butler and R. Graham, Enumerating (multiplex) juggling sequences, arXiv:0801.2597 [math.CO], 2008.

Index entries for linear recurrences with constant coefficients, signature (7,-8,-7).

FORMULA

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

a(n) = 7*a(n-1)-8*a(n-2)-7*a(n-3) for n>3. - Colin Barker, Aug 31 2016

PROG

(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

CROSSREFS

Cf. A136779.

Sequence in context: A054566 A038144 A097977 * A301944 A128743 A218184

Adjacent sequences:  A136777 A136778 A136779 * A136781 A136782 A136783

KEYWORD

nonn,easy

AUTHOR

Steve Butler, Jan 21 2008

STATUS

approved

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Last modified September 20 20:12 EDT 2019. Contains 327247 sequences. (Running on oeis4.)