A136782 Number of primitive multiplex juggling sequences of length n, base state <2,2> and hand capacity 2.

1, 2, 16, 119, 934, 7463, 60145, 486605, 3943960, 31992446, 259613953, 2107099586, 17103200263, 138830852135, 1126943433241, 9147906485462, 74257943539984, 602788362550355, 4893134369283898, 39720031331092499, 322427514601782961, 2617306853237874173

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 * A370621 A112710 A046105

Adjacent sequences: A136779 A136780 A136781 * A136783 A136784 A136785

Keyword

nonn,easy

Author

Steve Butler, Jan 21 2008

Status

approved