A042903 - OEIS

A042903

Denominators of continued fraction convergents to sqrt(983).

1, 2, 3, 17, 530, 2667, 3197, 9061, 564979, 1139019, 1703998, 9659009, 301133277, 1515325394, 1816458671, 5148242736, 321007508303, 647163259342, 968170767645, 5488017097567, 171096700792222, 860971521058677, 1032068221850899, 2925107964760475

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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 * A367686 A132534 A263048

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