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A136784 Number of primitive multiplex juggling sequences of length n, base state <3> and hand capacity 3. 1
1, 3, 13, 67, 369, 2083, 11869, 67875, 388705, 2227267, 12764973, 73165315, 419377873, 2403873891, 13779078781, 78982269667, 452730133185, 2595071559811, 14875080747085, 85264715699139, 488741675881009 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..21.

S. Butler and R. Graham, Enumerating (multiplex) juggling sequences

FORMULA

Generating function = (x-6x^2+7x^3)/(1-9x+21x^2-13x^3)

EXAMPLE

a(2)=3 since <3> -> <2,1> -> <3>; <3> -> <1,2> -> <3> and <3> -> <0,3> -> <3> are the three possibilities.

CROSSREFS

Cf. A136783.

Sequence in context: A110530 A142979 A201713 * A027277 A200754 A062992

Adjacent sequences:  A136781 A136782 A136783 * A136785 A136786 A136787

KEYWORD

nonn

AUTHOR

Steve Butler, Jan 21 2008

STATUS

approved

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Last modified May 19 02:47 EDT 2013. Contains 225428 sequences.