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A136780
Number of primitive multiplex juggling sequences of length n, base state <1,1,1> and hand capacity 2.
2
1, 2, 13, 68, 358, 1871, 9757, 50825, 264622, 1377455, 7169434, 37314044, 194200651, 1010706167, 5260139653, 27375923678, 142475405353, 741499470476, 3859061584762, 20084107492055, 104525763472957, 543994053280925, 2831163512738434, 14734511818610939
OFFSET
1,2
LINKS
S. Butler and R. Graham, Enumerating (multiplex) juggling sequences, arXiv:0801.2597 [math.CO], 2008.
FORMULA
G.f.: (x-5*x^2+7*x^3)/(1-7*x+8*x^2+7*x^3).
a(n) = 7*a(n-1)-8*a(n-2)-7*a(n-3) for n>3. - Colin Barker, Aug 31 2016
MATHEMATICA
LinearRecurrence[{7, -8, -7}, {1, 2, 13}, 30] (* Harvey P. Dale, Jun 20 2024 *)
PROG
(PARI) Vec((x-5*x^2+7*x^3)/(1-7*x+8*x^2+7*x^3) + O(x^30)) \\ Colin Barker, Aug 31 2016
CROSSREFS
Cf. A136779.
Sequence in context: A038144 A097977 A373199 * A301944 A128743 A218184
KEYWORD
nonn,easy
AUTHOR
Steve Butler, Jan 21 2008
STATUS
approved