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A042417 Denominators of continued fraction convergents to sqrt(736). 2
1, 7, 8, 23, 31, 85, 116, 897, 48554, 340775, 389329, 1119433, 1508762, 4136957, 5645719, 43656990, 2363123179, 16585519243, 18948642422, 54482804087, 73431446509, 201345697105, 274777143614, 2124785702403, 115013205073376, 807217221216035 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,48670,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^14 -7*x^13 +8*x^12 -23*x^11 +31*x^10 -85*x^9 +116*x^8 -897*x^7 -116*x^6 -85*x^5 -31*x^4 -23*x^3 -8*x^2 -7*x -1) / (x^16 -48670*x^8 +1). - Colin Barker, Dec 12 2013

MATHEMATICA

Denominator[Convergents[Sqrt[736], 30]] (* Vincenzo Librandi, Jan 21 2014 *)

CROSSREFS

Cf. A042416, A040708.

Sequence in context: A051175 A058537 A002362 * A042845 A041104 A042391

Adjacent sequences:  A042414 A042415 A042416 * A042418 A042419 A042420

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 12 2013

STATUS

approved

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Last modified October 31 02:14 EDT 2014. Contains 248845 sequences.