|
|
A091929
|
|
Expansion of (1-6x)/(1-6x-11x^2).
|
|
1
|
|
|
1, 0, 11, 66, 517, 3828, 28655, 214038, 1599433, 11951016, 89299859, 667260330, 4985860429, 37255026204, 278374621943, 2080053019902, 15542438960785, 116135216983632, 867778130470427, 6484156169642514, 48450496453029781
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
Let the generating matrix of the Golay G_24 code be [I|A]. Then a(n)=(A^n)_1,1.
|
|
REFERENCES
|
S. Roman, Introduction to Coding and Information Theory, Springer-Verlag, 1996, p. 224
|
|
LINKS
|
|
|
FORMULA
|
a(n) = (1/2 - 3*sqrt(5)/20)*(3 + 2*sqrt(5))^n + (3 - 2*sqrt(5))^n*(1/2 + 3*sqrt(5)/20).
|
|
MATHEMATICA
|
CoefficientList[Series[(1-6x)/(1-6x-11x^2), {x, 0, 30}], x] (* or *) LinearRecurrence[{6, 11}, {1, 0}, 30] (* Harvey P. Dale, Apr 25 2018 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|