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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 Carolina Benedetti, Christopher R. H. Hanusa, Pamela E. Harris, Alejandro H. Morales, Anthony Simpson, Kostant's partition function and magic multiplex juggling sequences, arXiv:2001.03219 [math.CO], 2020. See Table 1 p. 12. 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 (MAGMA) R:=PowerSeriesRing(Integers(), 25); Coefficients(R!( (x-11*x^2+33*x^3-27*x^4)/(1-14*x+54*x^2-57*x^3))); // Marius A. Burtea, Jan 13 2020 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 February 27 06:03 EST 2020. Contains 332299 sequences. (Running on oeis4.)