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A042127 Denominators of continued fraction convergents to sqrt(588). 3
1, 4, 193, 776, 37441, 150540, 7263361, 29203984, 1409054593, 5665422356, 273349327681, 1099062733080, 53028360515521, 213212504795164, 10287228590683393, 41362126867528736, 1995669318232062721, 8024039399795779620, 387149560508429484481 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,194,0,-1).

FORMULA

G.f.: -(x^2-4*x-1) / ((x^2-14*x+1)*(x^2+14*x+1)). - Colin Barker, Dec 02 2013

a(n) = 194*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 15 2014

MATHEMATICA

Denominator[Convergents[Sqrt[588], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

LinearRecurrence[{0, 194, 0, -1}, {1, 4, 193, 776}, 20] (* Harvey P. Dale, Dec 05 2018 *)

PROG

(MAGMA) I:=[1, 4, 193, 776]; [n le 4 select I[n] else 194*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jan 15 2014

CROSSREFS

Cf. A042126, A040563.

Sequence in context: A203516 A159783 A028370 * A219163 A017546 A144044

Adjacent sequences:  A042124 A042125 A042126 * A042128 A042129 A042130

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 02 2013

STATUS

approved

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Last modified November 12 09:01 EST 2019. Contains 329052 sequences. (Running on oeis4.)