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A041080 Numerators of continued fraction convergents to sqrt(47). 2
6, 7, 41, 48, 617, 665, 3942, 4607, 59226, 63833, 378391, 442224, 5685079, 6127303, 36321594, 42448897, 545708358, 588157255, 3486494633, 4074651888, 52382317289, 56456969177, 334667163174, 391124132351, 5028156751386, 5419280883737, 32124561170071 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,96,0,0,0,-1).

FORMULA

G.f.: -(x^7-6*x^6+7*x^5-41*x^4-48*x^3-41*x^2-7*x-6) / (x^8-96*x^4+1). - Colin Barker, Nov 04 2013

MATHEMATICA

Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[47], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 22 2011*)

Numerator[Convergents[Sqrt[47], 30]] (* Harvey P. Dale, Oct 15 2013 *)

CROSSREFS

Cf. A041081, A010501.

Sequence in context: A219212 A301904 A152119 * A042091 A047181 A080879

Adjacent sequences:  A041077 A041078 A041079 * A041081 A041082 A041083

KEYWORD

nonn,cofr,easy,frac

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 04 2013

STATUS

approved

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Last modified March 21 07:23 EDT 2019. Contains 321367 sequences. (Running on oeis4.)