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A042735 Denominators of continued fraction convergents to sqrt(897). 2
1, 1, 19, 20, 1179, 1199, 22761, 23960, 1412441, 1436401, 27267659, 28704060, 1692103139, 1720807199, 32666632721, 34387439920, 2027138148081, 2061525588001, 39134598732099, 41196124320100, 2428509809297899, 2469705933617999, 46883216614421881 (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, 1198, 0, 0, 0, -1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+20*x^2+1) / (x^8-1198*x^4+1). - Colin Barker, Dec 22 2013

a(n) = 1198*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Jan 27 2014

MATHEMATICA

Denominator[Convergents[Sqrt[897], 30]] (* Harvey P. Dale, May 29 2013 *)

PROG

(MAGMA) I:=[1, 1, 19, 20, 1179, 1199, 22761, 23960]; [n le 8 select I[n] else 1198*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Jan 27 2014

CROSSREFS

Cf. A042734, A040867.

Sequence in context: A041756 A041757 A041758 * A156758 A089837 A020347

Adjacent sequences:  A042732 A042733 A042734 * A042736 A042737 A042738

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 22 2013

STATUS

approved

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Last modified July 5 03:37 EDT 2020. Contains 335459 sequences. (Running on oeis4.)