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A042883 Denominators of continued fraction convergents to sqrt(973). 2
1, 5, 26, 57, 482, 1021, 5587, 28956, 1800859, 9033251, 46967114, 102967479, 870706946, 1844381371, 10092613801, 52307450376, 3253154537113, 16318080135941, 84843555216818, 186005190569577, 1572885079773434, 3331775350116445, 18231761830355659 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 1806446, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^14 - 5*x^13 + 26*x^12 - 57*x^11 + 482*x^10 - 1021*x^9 + 5587*x^8 - 28956*x^7 - 5587*x^6 - 1021*x^5 - 482*x^4 - 57*x^3 - 26*x^2 - 5*x - 1) / (x^16 - 1806446*x^8 + 1). - Colin Barker, Dec 25 2013
a(n) = 1806446*a(n-8) - a(n-16) for n > 15. - Vincenzo Librandi, Jan 31 2014
MATHEMATICA
Denominator[Convergents[Sqrt[973], 40]] (* Harvey P. Dale, May 04 2012 *)
PROG
(Magma) I:=[1, 5, 26, 57, 482, 1021, 5587, 28956, 1800859, 9033251, 46967114, 102967479, 870706946, 1844381371, 10092613801, 52307450376]; [n le 16 select I[n] else 1806446*Self(n-8)-Self(n-16): n in [1..35]]; // Vincenzo Librandi, Jan 31 2014
CROSSREFS
Sequence in context: A273272 A273248 A273301 * A273701 A273709 A139273
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 25 2013
STATUS
approved

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Last modified July 23 11:07 EDT 2024. Contains 374549 sequences. (Running on oeis4.)