A041279 Denominators of continued fraction convergents to sqrt(152).

1, 3, 73, 222, 5401, 16425, 399601, 1215228, 29565073, 89910447, 2187415801, 6652157850, 161839204201, 492169770453, 11973913695073, 36413910855672, 885907774231201, 2694137233549275, 65545201379413801, 199329741371790678, 4849458994302390073

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