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A042079 Denominators of continued fraction convergents to sqrt(563). 2
1, 1, 3, 4, 11, 257, 525, 782, 2089, 2871, 134155, 137026, 408207, 545233, 1498673, 35014712, 71528097, 106542809, 284613715, 391156524, 18277813819, 18668970343, 55615754505, 74284724848, 204185204201, 4770544421471, 9745274047143, 14515818468614 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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, 136244, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^18 -x^17 +3*x^16 -4*x^15 +11*x^14 -257*x^13 +525*x^12 -782*x^11 +2089*x^10 -2871*x^9 -2089*x^8 -782*x^7 -525*x^6 -257*x^5 -11*x^4 -4*x^3 -3*x^2 -x -1) / (x^20 -136244*x^10 +1). - Colin Barker, Dec 01 2013

a(n) = 136244*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Jan 14 2014

MATHEMATICA

Denominator[Convergents[Sqrt[563], 30]] (* Vincenzo Librandi, Jan 14 2014 *)

CROSSREFS

Cf. A042078, A040539.

Sequence in context: A225205 A041299 A001112 * A045826 A084200 A097850

Adjacent sequences:  A042076 A042077 A042078 * A042080 A042081 A042082

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 01 2013

STATUS

approved

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Last modified October 18 18:56 EDT 2019. Contains 328197 sequences. (Running on oeis4.)