OFFSET
0,2
LINKS
S. Butler, J. Choi, K. Kim, and K. Seo, Enumerating multiplex juggling patterns, J. Integer Seq., 22(1):Art. 19.1.7, 21, 2019.
Y. Cho, J. Kim, J. S. Kim, and N. Lee, Enumeration of multiplex juggling card sequences using generalized q-derivatives, arXiv:2402.09903 [math.CO], 2014.
Index entries for linear recurrences with constant coefficients, signature (3,0,-5,0,3,1).
FORMULA
G.f.: (1-x+x^2+x^3)/(1-x-x^2)^3.
MATHEMATICA
CoefficientList[Series[(1 - x + x^2 + x^3)/(1 - x - x^2)^3, {x, 0, 33}], x] (* Amiram Eldar, Feb 15 2024 *)
LinearRecurrence[{3, 0, -5, 0, 3, 1}, {1, 2, 7, 17, 41, 91}, 40] (* Harvey P. Dale, Aug 01 2024 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Jang Soo Kim, Feb 14 2024
STATUS
approved