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A041829 Denominators of continued fraction convergents to sqrt(435). 2
1, 1, 6, 7, 286, 293, 1751, 2044, 83511, 85555, 511286, 596841, 24384926, 24981767, 149293761, 174275528, 7120314881, 7294590409, 43593266926, 50887857335, 2079107560326, 2129995417661, 12729084648631, 14859080066292, 607092287300311, 621951367366603 (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, 292, 0, 0, 0, -1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+7*x^2+1) / (x^8-292*x^4+1). - Colin Barker, Nov 25 2013

a(n) = 292*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 25 2013

MATHEMATICA

Denominator[Convergents[Sqrt[435], 30]] (* Vincenzo Librandi, Dec 25 2013 *)

PROG

(MAGMA) I:=[1, 1, 6, 7, 286, 293, 1751, 2044]; [n le 8 select I[n] else 292*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 25 2013

CROSSREFS

Cf. A041828, A040414.

Sequence in context: A036417 A267255 A041357 * A042497 A011315 A268508

Adjacent sequences:  A041826 A041827 A041828 * A041830 A041831 A041832

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 25 2013

STATUS

approved

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Last modified February 25 05:01 EST 2020. Contains 332217 sequences. (Running on oeis4.)