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A042193 Denominators of continued fraction convergents to sqrt(621). 2
1, 1, 12, 25, 287, 312, 15263, 15575, 186588, 388751, 4462849, 4851600, 237339649, 242191249, 2901443388, 6045078025, 69397301663, 75442379688, 3690631526687, 3766073906375, 45117444496812, 94000962899999, 1079128036396801, 1173128999296800 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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, 0, 15550, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^10 - x^9 + 12*x^8 - 25*x^7 + 287*x^6 - 312*x^5 - 287*x^4 - 25*x^3 - 12*x^2 - x - 1) / ((x^4 - 25*x^2 + 1)*(x^8 + 25*x^6 + 624*x^4 + 25*x^2 + 1)). - Colin Barker, Dec 03 2013

MATHEMATICA

Denominator[Convergents[Sqrt[621], 30]] (* Vincenzo Librandi, Jan 16 2014 *)

CROSSREFS

Cf. A042192, A040596.

Sequence in context: A195116 A041284 A171069 * A041286 A025138 A075689

Adjacent sequences:  A042190 A042191 A042192 * A042194 A042195 A042196

KEYWORD

nonn,frac,easy,changed

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Colin Barker, Dec 03 2013

STATUS

approved

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Last modified May 23 05:03 EDT 2019. Contains 323508 sequences. (Running on oeis4.)