|
|
A042291
|
|
Denominators of continued fraction convergents to sqrt(671).
|
|
2
|
|
|
1, 1, 10, 21, 31, 52, 83, 218, 2045, 2263, 115195, 117458, 1172317, 2462092, 3634409, 6096501, 9730910, 25558321, 239755799, 265314120, 13505461799, 13770775919, 137442445070, 288655666059, 426098111129, 714753777188, 1140851888317, 2996457553822
(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, 0, 0, 117240, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
|
|
FORMULA
|
G.f.: -(x^18 -x^17 +10*x^16 -21*x^15 +31*x^14 -52*x^13 +83*x^12 -218*x^11 +2045*x^10 -2263*x^9 -2045*x^8 -218*x^7 -83*x^6 -52*x^5 -31*x^4 -21*x^3 -10*x^2 -x -1) / (x^20 -117240*x^10 +1). - Colin Barker, Dec 07 2013
|
|
MATHEMATICA
|
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 117240, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 10, 21, 31, 52, 83, 218, 2045, 2263, 115195, 117458, 1172317, 2462092, 3634409, 6096501, 9730910, 25558321, 239755799, 265314120}, 30] (* Harvey P. Dale, May 31 2023 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|