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A136786 Number of primitive multiplex juggling sequences of length n, base state <2,1> and hand capacity 3. 2
1, 4, 21, 111, 592, 3171, 17021, 91456, 491641, 2643523, 14215596, 76448559, 411134641, 2211076788, 11891207045, 63951270079, 343932277888, 1849681481203, 9947663349453, 53498950981392, 287719621233865, 1547368337500659, 8321812723167356, 44755063012476127 (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 (9,-22,13,3).

FORMULA

G.f.: (x-5*x^2+7*x^3-3*x^4)/(1-9*x+22*x^2-13*x^3-3*x^4).

a(n) = 9*a(n-1)-22*a(n-2)+13*a(n-3)+3*a(n-4) for n>4. - Colin Barker, Aug 31 2016

PROG

(PARI) Vec((x-5*x^2+7*x^3-3*x^4)/(1-9*x+22*x^2-13*x^3-3*x^4) + O(x^30)) \\ Colin Barker, Aug 31 2016

CROSSREFS

Cf. A136785.

Sequence in context: A100237 A117381 A010908 * A301972 A026335 A027909

Adjacent sequences:  A136783 A136784 A136785 * A136787 A136788 A136789

KEYWORD

nonn,easy

AUTHOR

Steve Butler, Jan 21 2008

STATUS

approved

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Last modified March 21 07:23 EDT 2019. Contains 321367 sequences. (Running on oeis4.)