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A042097 Denominators of continued fraction convergents to sqrt(572). 2
1, 1, 11, 12, 563, 575, 6313, 6888, 323161, 330049, 3623651, 3953700, 185493851, 189447551, 2079969361, 2269416912, 106473147313, 108742564225, 1193898789563, 1302641353788, 61115401063811, 62418042417599, 685295825239801, 747713867657400, 35080133737480201 (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, 574, 0, 0, 0, -1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+12*x^2+1) / ((x^4-24*x^2+1)*(x^4+24*x^2+1)). - Colin Barker, Dec 01 2013

a(n) = 574*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Jan 14 2014

MATHEMATICA

Denominator[Convergents[Sqrt[572], 30]] (* Vincenzo Librandi, Jan 14 2014 *)

PROG

(MAGMA) I:=[1, 1, 11, 12, 563, 575, 6313, 6888]; [n le 8 select I[n] else 574*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Jan 14 2014

CROSSREFS

Cf. A042096, A040548.

Sequence in context: A041262 A262515 A041607 * A056684 A042731 A087304

Adjacent sequences:  A042094 A042095 A042096 * A042098 A042099 A042100

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 01 2013

STATUS

approved

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Last modified March 19 13:29 EDT 2019. Contains 321330 sequences. (Running on oeis4.)