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A041851 Denominators of continued fraction convergents to sqrt(447). 2
1, 7, 295, 2072, 87319, 613305, 25846129, 181536208, 7650366865, 53734104263, 2264482745911, 15905113325640, 670279242422791, 4707859810285177, 198400391274400225, 1393510598731086752, 58725845537980043809, 412474429364591393415, 17382651878850818567239 (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, 296, 0, -1).

FORMULA

G.f.: -(x^2 -7*x -1) / (x^4 -296*x^2 +1). - Colin Barker, Nov 26 2013

a(n) = 296*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 25 2013

MATHEMATICA

Denominator[Convergents[Sqrt[447], 30]] (* Vincenzo Librandi, Dec 25 2013 *)

PROG

(Magma) I:=[1, 7, 295, 2072]; [n le 4 select I[n] else 296*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 25 2013

CROSSREFS

Cf. A041850, A040425.

Sequence in context: A160072 A137435 A220241 * A082168 A096348 A281435

Adjacent sequences: A041848 A041849 A041850 * A041852 A041853 A041854

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 26 2013

STATUS

approved

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Last modified January 30 16:32 EST 2023. Contains 359945 sequences. (Running on oeis4.)