|
| |
|
|
A041629
|
|
Denominators of continued fraction convergents to sqrt(333).
|
|
2
|
|
|
|
1, 4, 145, 584, 21169, 85260, 3090529, 12447376, 451196065, 1817231636, 65871534961, 265303371480, 9616792908241, 38732475004444, 1403985893068225, 5654676047277344, 204972323595052609, 825543970427487780, 29924555258984612689, 120523765006365938536
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0, 146, 0, -1).
|
|
|
FORMULA
|
G.f.: -(x^2-4*x-1) / ((x^2-12*x-1)*(x^2+12*x-1)). - Colin Barker, Nov 20 2013
a(n) = 146*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 22 2013
|
|
|
MATHEMATICA
|
Denominator[Convergents[Sqrt[333], 30]] (* Vincenzo Librandi, Dec 22 2013 *)
|
|
|
PROG
|
(Magma) I:=[1, 4, 145, 584]; [n le 4 select I[n] else 146*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013
|
|
|
CROSSREFS
|
Cf. A041628, A040314.
Sequence in context: A239350 A343697 A030450 * A278845 A159197 A246961
Adjacent sequences: A041626 A041627 A041628 * A041630 A041631 A041632
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
EXTENSIONS
|
More terms from Colin Barker, Nov 20 2013
|
|
|
STATUS
|
approved
|
| |
|
|
