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A042213 Denominators of continued fraction convergents to sqrt(632). 2
1, 7, 43, 308, 15443, 108409, 665897, 4769688, 239150297, 1678821767, 10312080899, 73863388060, 3703481483899, 25998233775353, 159692884136017, 1143848422727472, 57352114020509617, 402608646566294791, 2473003993418278363, 17713636600494243332 (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 (0,0,0,15486,0,0,0,-1).

FORMULA

G.f.: -(x^2 - 7*x - 1)*(x^4 + 44*x^2 + 1) / (x^8 - 15486*x^4 + 1). - Colin Barker, Dec 04 2013

MATHEMATICA

Denominator[Convergents[Sqrt[632], 30]] (* Vincenzo Librandi, Jan 16 2014 *)

LinearRecurrence[{0, 0, 0, 15486, 0, 0, 0, -1}, {1, 7, 43, 308, 15443, 108409, 665897, 4769688}, 20] (* Harvey P. Dale, Nov 27 2020 *)

CROSSREFS

Cf. A042212, A040606.

Sequence in context: A244938 A199483 A331236 * A193705 A164775 A127999

Adjacent sequences:  A042210 A042211 A042212 * A042214 A042215 A042216

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 October 3 13:22 EDT 2022. Contains 357237 sequences. (Running on oeis4.)