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A041279 Denominators of continued fraction convergents to sqrt(152). 2
1, 3, 73, 222, 5401, 16425, 399601, 1215228, 29565073, 89910447, 2187415801, 6652157850, 161839204201, 492169770453, 11973913695073, 36413910855672, 885907774231201, 2694137233549275, 65545201379413801, 199329741371790678, 4849458994302390073 (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 (0,74,0,-1).

FORMULA

G.f.: -(x^2-3*x-1) / (x^4-74*x^2+1). - Colin Barker, Nov 14 2013

a(n) = 74*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 14 2013

MATHEMATICA

Denominator[Convergents[Sqrt[152], 30]] (* Vincenzo Librandi, Dec 14 2013 *)

LinearRecurrence[{0, 74, 0, -1}, {1, 3, 73, 222}, 30] (* Harvey P. Dale, Sep 03 2015 *)

PROG

(MAGMA) I:=[1, 3, 73, 222]; [n le 4 select I[n] else 74*Self(n-2)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Dec 14 2013

CROSSREFS

Cf. A041278, A040139.

Sequence in context: A079594 A089922 A259848 * A054699 A102267 A201038

Adjacent sequences:  A041276 A041277 A041278 * A041280 A041281 A041282

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 14 2013

STATUS

approved

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Last modified September 24 07:28 EDT 2020. Contains 337317 sequences. (Running on oeis4.)