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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
OFFSET
1,2
LINKS
S. Butler and R. Graham, Enumerating (multiplex) juggling sequences, arXiv:0801.2597 [math.CO], 2008.
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 A356269
KEYWORD
nonn,easy
AUTHOR
Steve Butler, Jan 21 2008
STATUS
approved