|
|
A041247
|
|
Denominators of continued fraction convergents to sqrt(135).
|
|
2
|
|
|
1, 1, 2, 3, 5, 8, 13, 21, 475, 496, 971, 1467, 2438, 3905, 6343, 10248, 231799, 242047, 473846, 715893, 1189739, 1905632, 3095371, 5001003, 113117437, 118118440, 231235877, 349354317, 580590194, 929944511, 1510534705, 2440479216, 55201077457, 57641556673
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,488,0,0,0,0,0,0,0,-1).
|
|
FORMULA
|
G.f.: -(x^2-x-1)*(x^4+3*x^2+1)*(x^8+7*x^4+1) / (x^16-488*x^8+1). - Colin Barker, Nov 14 2013
|
|
MATHEMATICA
|
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 488, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 2, 3, 5, 8, 13, 21, 475, 496, 971, 1467, 2438, 3905, 6343, 10248}, 40] (* Harvey P. Dale, Aug 01 2019 *)
|
|
PROG
|
(Magma) I:=[1, 1, 2, 3, 5, 8, 13, 21, 475, 496, 971, 1467, 2438, 3905, 6343, 10248]; [n le 16 select I[n] else 488*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 13 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|