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A042117 Denominators of continued fraction convergents to sqrt(583). 2
1, 6, 7, 55, 282, 1183, 6197, 44562, 50759, 349116, 16808327, 101199078, 118007405, 927250913, 4754261970, 19944298793, 104475755935, 751274590338, 855750346273, 5885776667976, 283373030409121, 1706123959122702, 1989496989531823, 15632602885845463 (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, 0, 0, 16859086, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^18 -6*x^17 +7*x^16 -55*x^15 +282*x^14 -1183*x^13 +6197*x^12 -44562*x^11 +50759*x^10 -349116*x^9 -50759*x^8 -44562*x^7 -6197*x^6 -1183*x^5 -282*x^4 -55*x^3 -7*x^2 -6*x -1) / (x^20 -16859086*x^10 +1). - Colin Barker, Dec 02 2013

a(n) = 16859086*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Jan 15 2014

MATHEMATICA

Denominator[Convergents[Sqrt[583], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

CROSSREFS

Cf. A042116, A040558.

Sequence in context: A182622 A028423 A269912 * A335956 A179885 A217548

Adjacent sequences:  A042114 A042115 A042116 * A042118 A042119 A042120

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 02 2013

STATUS

approved

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Last modified May 27 13:04 EDT 2022. Contains 354097 sequences. (Running on oeis4.)