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A042357 Denominators of continued fraction convergents to sqrt(705). 2
1, 1, 2, 9, 29, 299, 926, 4003, 4929, 8932, 469393, 478325, 947718, 4269197, 13755309, 141822287, 439222170, 1898710967, 2337933137, 4236644104, 222643426545, 226880070649, 449523497194, 2024974059425, 6524445675469, 67269430814115, 208332738117814 (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, 474322, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^18 -x^17 +2*x^16 -9*x^15 +29*x^14 -299*x^13 +926*x^12 -4003*x^11 +4929*x^10 -8932*x^9 -4929*x^8 -4003*x^7 -926*x^6 -299*x^5 -29*x^4 -9*x^3 -2*x^2 -x -1) / (x^20 -474322*x^10 +1). - Colin Barker, Dec 09 2013

MATHEMATICA

Denominator[Convergents[Sqrt[705], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

CROSSREFS

Cf. A042356, A040678.

Sequence in context: A151306 A150904 A122675 * A079783 A182975 A228932

Adjacent sequences:  A042354 A042355 A042356 * A042358 A042359 A042360

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 09 2013

STATUS

approved

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Last modified February 16 21:46 EST 2020. Contains 331975 sequences. (Running on oeis4.)