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A042617 Denominators of continued fraction convergents to sqrt(837). 2
1, 1, 14, 29, 391, 420, 23911, 24331, 340214, 704759, 9502081, 10206840, 581085121, 591291961, 8267880614, 17127053189, 230919572071, 248046625260, 14121530586631, 14369577211891, 200926034341214, 416221645894319, 5611807430967361, 6028029076861680 (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, 24302, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^10-x^9+14*x^8-29*x^7+391*x^6-420*x^5-391*x^4-29*x^3-14*x^2-x-1) / ((x^4-29*x^2+1)*(x^8+29*x^6+840*x^4+29*x^2+1)). - Colin Barker, Dec 20 2013

MATHEMATICA

Denominator[Convergents[Sqrt[837], 30]] (* Vincenzo Librandi, Jan 25 2014 *)

CROSSREFS

Cf. A042616, A040808.

Sequence in context: A196305 A041386 A041388 * A041390 A240823 A226734

Adjacent sequences:  A042614 A042615 A042616 * A042618 A042619 A042620

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 20 2013

STATUS

approved

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Last modified April 25 13:31 EDT 2019. Contains 322461 sequences. (Running on oeis4.)