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A136782 Number of primitive multiplex juggling sequences of length n, base state <2,2> and hand capacity 2. 2
1, 2, 16, 119, 934, 7463, 60145, 486605, 3943960, 31992446, 259613953, 2107099586, 17103200263, 138830852135, 1126943433241, 9147906485462, 74257943539984, 602788362550355, 4893134369283898, 39720031331092499, 322427514601782961, 2617306853237874173 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

S. Butler and R. Graham, Enumerating (multiplex) juggling sequences, arXiv:0801.2597 [math.CO], 2008.

Index entries for linear recurrences with constant coefficients, signature (13,-43,24,27).

FORMULA

G.f.: (x-11*x^2+33*x^3-27*x^4)/(1-13*x+43*x^2-24*x^3-27*x^4).

a(n) = 13*a(n-1)-43*a(n-2)+24*a(n-3)+27*a(n-4) for n>4. - Colin Barker, Aug 31 2016

PROG

(PARI) Vec((x-11*x^2+33*x^3-27*x^4)/(1-13*x+43*x^2-24*x^3-27*x^4) + O(x^30)) \\ Colin Barker, Aug 31 2016

CROSSREFS

Cf. A136781.

Sequence in context: A193289 A159324 A088755 * A112710 A046105 A086854

Adjacent sequences:  A136779 A136780 A136781 * A136783 A136784 A136785

KEYWORD

nonn,easy

AUTHOR

Steve Butler, Jan 21 2008

STATUS

approved

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Last modified May 26 09:06 EDT 2017. Contains 287093 sequences.