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A042903 Denominators of continued fraction convergents to sqrt(983). 2
1, 2, 3, 17, 530, 2667, 3197, 9061, 564979, 1139019, 1703998, 9659009, 301133277, 1515325394, 1816458671, 5148242736, 321007508303, 647163259342, 968170767645, 5488017097567, 171096700792222, 860971521058677, 1032068221850899, 2925107964760475 (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, 568176, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^14 -2*x^13 +3*x^12 -17*x^11 +530*x^10 -2667*x^9 +3197*x^8 -9061*x^7 -3197*x^6 -2667*x^5 -530*x^4 -17*x^3 -3*x^2 -2*x -1) / (x^16 -568176*x^8 +1). - Colin Barker, Dec 25 2013

a(n) = 568176*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Feb 01 2014

MATHEMATICA

Denominator[Convergents[Sqrt[983], 30]] (* Vincenzo Librandi, Feb 01 2014 *)

CROSSREFS

Cf. A042902, A040951.

Sequence in context: A042978 A089675 A041383 * A132534 A263048 A118702

Adjacent sequences:  A042900 A042901 A042902 * A042904 A042905 A042906

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 April 18 19:31 EDT 2021. Contains 343089 sequences. (Running on oeis4.)