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A042207 Denominators of continued fraction convergents to sqrt(629). 2
1, 12, 13, 25, 313, 15675, 188413, 204088, 392501, 4914100, 246097501, 2958084112, 3204181613, 6162265725, 77151370313, 3863730781375, 46441920746813, 50305651528188, 96747572275001, 1211276518828200, 60660573513685001, 729138158683048212, 789798732196733213 (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, 0, 0, 0, 15700, 0, 0, 0, 0, 1).

FORMULA

G.f.: -(x^8 - 12*x^7 + 13*x^6 - 25*x^5 + 313*x^4 + 25*x^3 + 13*x^2 + 12*x + 1) / (x^10 + 15700*x^5 - 1). - Colin Barker, Dec 04 2013

MATHEMATICA

Denominator[Convergents[Sqrt[629], 30]] (* Vincenzo Librandi, Jan 16 2014 *)

LinearRecurrence[{0, 0, 0, 0, 15700, 0, 0, 0, 0, 1}, {1, 12, 13, 25, 313, 15675, 188413, 204088, 392501, 4914100}, 30] (* Harvey P. Dale, May 27 2014 *)

CROSSREFS

Cf. A042206, A040603.

Sequence in context: A041294 A041290 A041288 * A022317 A125998 A307279

Adjacent sequences:  A042204 A042205 A042206 * A042208 A042209 A042210

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Colin Barker, Dec 04 2013

STATUS

approved

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Last modified August 11 20:13 EDT 2022. Contains 356067 sequences. (Running on oeis4.)