|
|
A084683
|
|
Expansion of g.f.: (1+2*x^3+2*x^6)/((1-x)*(1-x-x^2+x^3-x^4-x^5+x^6)).
|
|
1
|
|
|
1, 2, 4, 8, 14, 24, 40, 65, 104, 164, 258, 404, 632, 986, 1537, 2394, 3728, 5804, 9034, 14060, 21880, 34049, 52984, 82448, 128294, 199632, 310636, 483362, 752129, 1170338, 1821084, 2833664, 4409270, 6860960, 10675864, 16611969, 25848728, 40221404, 62585722, 97385276
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
MATHEMATICA
|
CoefficientList[Series[(1+2x^3+2x^6)/((1-x)(1-x-x^2+x^3-x^4-x^5+x^6)), {x, 0, 60}], x] (* or *) LinearRecurrence[{2, 0, -2, 2, 0, -2, 1}, {1, 2, 4, 8, 14, 24, 40}, 60] (* Harvey P. Dale, Jun 23 2018 *)
|
|
PROG
|
(Magma) R<x>:=PowerSeriesRing(Integers(), 60); Coefficients(R!( (1+2*x^3+2*x^6)/((1-x)*(1-x-x^2+x^3-x^4-x^5+x^6)) )); // G. C. Greubel, Mar 22 2023
(SageMath)
P.<x> = PowerSeriesRing(ZZ, prec)
return P( (1+2*x^3+2*x^6)/((1-x)*(1-x-x^2+x^3-x^4-x^5+x^6)) ).list()
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|