|
| |
|
|
A041575
|
|
Denominators of continued fraction convergents to sqrt(305).
|
|
2
|
|
|
|
1, 2, 13, 28, 965, 1958, 12713, 27384, 943769, 1914922, 12433301, 26781524, 923005117, 1872791758, 12159755665, 26192303088, 902698060657, 1831588424402, 11892228607069, 25616045638540, 882837780317429, 1791291606273398, 11630587417957817, 25052466442189032
(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 (0,0,0,978,0,0,0,-1).
|
|
|
FORMULA
|
G.f.: -(x^2-2*x-1)*(x^4+14*x^2+1) / (x^8-978*x^4+1). - Colin Barker, Nov 19 2013
a(n) = 978*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 20 2013
|
|
|
MATHEMATICA
|
Denominator[Convergents[Sqrt[305], 30]] (* Vincenzo Librandi, Dec 20 2013 *)
LinearRecurrence[{0, 0, 0, 978, 0, 0, 0, -1}, {1, 2, 13, 28, 965, 1958, 12713, 27384}, 30] (* Harvey P. Dale, Nov 03 2015 *)
|
|
|
PROG
|
(Magma) I:=[1, 2, 13, 28, 965, 1958, 12713, 27384]; [n le 8 select I[n] else 978*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 20 2013
|
|
|
CROSSREFS
|
Cf. A041574, A040287.
Sequence in context: A294559 A041017 A033837 * A042917 A174049 A141336
Adjacent sequences: A041572 A041573 A041574 * A041576 A041577 A041578
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
EXTENSIONS
|
More terms from Colin Barker, Nov 19 2013
|
|
|
STATUS
|
approved
|
| |
|
|
