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A042361 Denominators of continued fraction convergents to sqrt(707). 2
1, 1, 2, 5, 17, 39, 56, 95, 4996, 5091, 10087, 25265, 85882, 197029, 282911, 479940, 25239791, 25719731, 50959522, 127638775, 433875847, 995390469, 1429266316, 2424656785, 127511419136, 129936075921, 257447495057, 644831066035, 2191940693162, 5028712452359 (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, 5052, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^14 -x^13 +2*x^12 -5*x^11 +17*x^10 -39*x^9 +56*x^8 -95*x^7 -56*x^6 -39*x^5 -17*x^4 -5*x^3 -2*x^2 -x -1) / (x^16 -5052*x^8 +1). - Colin Barker, Dec 09 2013

MATHEMATICA

Denominator[Convergents[Sqrt[707], 30]] (* Harvey P. Dale, Dec 14 2011 *)

CROSSREFS

Cf. A042360, A040680.

Sequence in context: A064168 A118727 A183906 * A114300 A099207 A197918

Adjacent sequences:  A042358 A042359 A042360 * A042362 A042363 A042364

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 January 20 10:23 EST 2018. Contains 297960 sequences.