A136783 - OEIS

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A136783

Number of multiplex juggling sequences of length n, base state <3> and hand capacity 3.

1, 4, 20, 112, 660, 3976, 24180, 147648, 903140, 5528504, 33853220, 207325392, 1269787060, 7777149416, 47633751380, 291750220768, 1786933908740, 10944758154264, 67035370422020, 410583912229872, 2514779283989460 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	LINKS	`S. Butler and R. Graham, Enumerating (multiplex) juggling sequences`
	FORMULA	`Generating function = (x-6x^2+7x^3)/(1-10x+27x^2-20x^3)`
	EXAMPLE	`a(2)=4 since <3> -> <3> -> <3>; <3> -> <2,1> -> <3>; <3> -> <1,2> -> <3> and <3> -> <0,3> -> <3> are the four possibilities.`
	CROSSREFS	`Cf. A136784.` `Sequence in context: A014523 A153299 A081335 * A080609 A003645 A081085` `Adjacent sequences: A136780 A136781 A136782 * A136784 A136785 A136786`
	KEYWORD	`nonn`
	AUTHOR	`Steve Butler (sbutler(AT)math.ucsd.edu), Jan 21 2008`

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Last modified February 17 03:45 EST 2012. Contains 205978 sequences.