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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

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, 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

Cf. A042882, A040941.

Sequence in context: A273272 A273248 A273301 * A273701 A273709 A139273

Adjacent sequences:  A042880 A042881 A042882 * A042884 A042885 A042886

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 25 2013

STATUS

approved

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Last modified February 17 15:19 EST 2019. Contains 320220 sequences. (Running on oeis4.)