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
MATHEMATICA
LinearRecurrence[{14, -54, 57}, {1, 3, 21, 162}, 30] (* Harvey P. Dale, Apr 19 2023 *)
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<x>:=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
KEYWORD
nonn,easy
AUTHOR
Steve Butler, Jan 21 2008
STATUS
approved