|
|
A115492
|
|
Number of monic irreducible polynomials of degree 2 in GF(2^n)[x,y].
|
|
1
|
|
|
35, 1134, 34748, 1081080, 34077680, 1082126304, 34493939648, 1101659045760, 35218731564800, 1126449661607424, 36037593107790848, 1153062242078423040, 36895739947165675520, 1180627649514161823744, 37779508323708391374848, 1208935042986661734481920
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 54*a(n-1)-808*a(n-2)+3456*a(n-3)-4096*a(n-4). - Colin Barker, Jul 25 2014
G.f.: 7*x*(256*x^2-108*x+5) / ((2*x-1)*(4*x-1)*(16*x-1)*(32*x-1)). - Colin Barker, Jul 25 2014
|
|
MATHEMATICA
|
CoefficientList[Series[7 (256 x^2 - 108 x + 5)/((2 x - 1) (4 x - 1) (16 x - 1) (32 x - 1)), {x, 0, 40}], x] (* Vincenzo Librandi, Jul 26 2014 *)
|
|
PROG
|
(PARI) Vec(7*x*(256*x^2-108*x+5)/((2*x-1)*(4*x-1)*(16*x-1)*(32*x-1)) + O(x^100)) \\ Colin Barker, Jul 25 2014
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|