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A136781 Number of multiplex juggling sequences of length n, base state <2,2> and hand capacity 2. 2
1, 3, 21, 162, 1305, 10719, 88830, 739179, 6162669, 51425010, 429299217, 3584510631, 29932216686, 249957514899, 2087382613509, 17431787135682, 145573937119305, 1215699423313455, 10152411188679774, 84783702198390651, 708036493717628253, 5912878431088447506 (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.

S. Butler and R. Graham, Enumerating (multiplex) juggling sequences, Ann. Combinat. 13 (4) (2010) 412.

Index entries for linear recurrences with constant coefficients, signature (14,-54,57).

FORMULA

G.f.: (x-11*x^2+33*x^3-27*x^4)/(1-14*x+54*x^2-57*x^3).

a(n) = 14*a(n-1)-54*a(n-2)+57*a(n-3) for n>4. - Colin Barker, Aug 31 2016

PROG

(PARI) Vec((x-11*x^2+33*x^3-27*x^4)/(1-14*x+54*x^2-57*x^3) + O(x^30)) \\ Colin Barker, Aug 31 2016

CROSSREFS

Cf. A136782.

Sequence in context: A286918 A189508 A074570 * A225439 A180400 A166696

Adjacent sequences:  A136778 A136779 A136780 * A136782 A136783 A136784

KEYWORD

nonn,easy

AUTHOR

Steve Butler, Jan 21 2008

STATUS

approved

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Last modified August 17 17:04 EDT 2019. Contains 326059 sequences. (Running on oeis4.)