|
| |
|
|
A041983
|
|
Denominators of continued fraction convergents to sqrt(514).
|
|
2
|
|
|
|
1, 1, 3, 67, 137, 204, 9113, 9317, 27747, 619751, 1267249, 1887000, 84295249, 86182249, 256659747, 5732696683, 11722053113, 17454749796, 779731044137, 797185793933, 2374102632003, 53027443697999, 108428990028001, 161456433726000, 7212512073972001
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,3
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,9250,0,0,0,0,0,-1).
|
|
|
FORMULA
|
G.f.: -(x^10-x^9+3*x^8-67*x^7+137*x^6-204*x^5-137*x^4-67*x^3-3*x^2-x-1) / (x^12-9250*x^6+1). - Colin Barker, Nov 28 2013
|
|
|
MATHEMATICA
|
Denominator[Convergents[Sqrt[514], 30]] (* Vincenzo Librandi, Jan 11 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 9250, 0, 0, 0, 0, 0, -1}, {1, 1, 3, 67, 137, 204, 9113, 9317, 27747, 619751, 1267249, 1887000}, 30] (* Harvey P. Dale, Sep 15 2019 *)
|
|
|
PROG
|
(MAGMA) I:=[1, 1, 3, 67, 137, 204, 9113, 9317, 27747, 619751, 1267249, 1887000]; [n le 12 select I[n] else 9250*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Jan 11 2014
|
|
|
CROSSREFS
|
Cf. A041982, A040491.
Sequence in context: A110716 A142035 A142926 * A263549 A225191 A201857
Adjacent sequences: A041980 A041981 A041982 * A041984 A041985 A041986
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
EXTENSIONS
|
More terms from Colin Barker, Nov 28 2013
|
|
|
STATUS
|
approved
|
| |
|
|
