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A136778 Number of primitive multiplex juggling sequences of length n, base state <2,1> and hand capacity 2. 2
1, 3, 15, 75, 381, 1947, 9975, 51159, 262497, 1347123, 6913911, 35485779, 182133885, 934823451, 4798101855, 24626900271, 126400914849, 648769995939, 3329901037119, 17091174551835, 87722802540957, 450249343708827, 2310966659437671, 11861354115061383 (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,-9,-3).

FORMULA

G.f.: (x-4*x^2+3*x^3)/(1-7*x+9*x^2+3*x^3).

a(n) = 7*a(n-1)-9*a(n-2)-3*a(n-3) for n>3. - Colin Barker, Aug 31 2016

PROG

(PARI) Vec((x-4*x^2+3*x^3)/(1-7*x+9*x^2+3*x^3) + O(x^30)) \\ Colin Barker, Aug 31 2016

CROSSREFS

Cf. A136777.

Sequence in context: A005053 A329764 A183411 * A300665 A278398 A000266

Adjacent sequences:  A136775 A136776 A136777 * A136779 A136780 A136781

KEYWORD

nonn,easy

AUTHOR

Steve Butler, Jan 21 2008

STATUS

approved

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Last modified March 28 05:38 EDT 2020. Contains 333073 sequences. (Running on oeis4.)