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URL: https://oeis.org/A042543

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A042543
Denominators of continued fraction convergents to sqrt(800).
2
1, 3, 4, 7, 95, 102, 197, 693, 39005, 117708, 156713, 274421, 3724186, 3998607, 7722793, 27166986, 1529074009, 4614389013, 6143463022, 10757852035, 145995539477, 156753391512, 302748930989, 1065000184479, 59942759261813, 180893277969918, 240836037231731
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,39202,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^14 -3*x^13 +4*x^12 -7*x^11 +95*x^10 -102*x^9 +197*x^8 -693*x^7 -197*x^6 -102*x^5 -95*x^4 -7*x^3 -4*x^2 -3*x -1) / ((x^4 -14*x^2 -1)*(x^4 +14*x^2 -1)*(x^8 +198*x^4 +1)). - Colin Barker, Dec 17 2013
a(n) = 39202*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Jan 23 2014
MATHEMATICA
Denominator[Convergents[Sqrt[800], 30]] (* Harvey P. Dale, May 22 2013 *)
PROG
(Magma) I:=[1, 3, 4, 7, 95, 102, 197, 693, 39005, 117708, 156713, 274421, 3724186, 3998607, 7722793, 27166986]; [n le 16 select I[n] else 39202*Self(n-8)-Self(n-16): n in [1..30]]; // Vincenzo Librandi, Jan 23 2014
CROSSREFS
Sequence in context: A256725 A041463 A041863 * A041987 A100978 A059077
KEYWORD
nonn,frac,easy
EXTENSIONS
More terms from Colin Barker, Dec 17 2013
STATUS
approved