The On-Line Encyclopedia of Integer Sequences (OEIS)

A042207 revision #13

A042207

Denominators of continued fraction convergents to sqrt(629).

1, 12, 13, 25, 313, 15675, 188413, 204088, 392501, 4914100, 246097501, 2958084112, 3204181613, 6162265725, 77151370313, 3863730781375, 46441920746813, 50305651528188, 96747572275001, 1211276518828200, 60660573513685001, 729138158683048212, 789798732196733213

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OFFSET

0,2

LINKS

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

Index to sequences with 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

editing