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A042093 Denominators of continued fraction convergents to sqrt(570). 2
1, 1, 7, 8, 375, 383, 2673, 3056, 143249, 146305, 1021079, 1167384, 54720743, 55888127, 390049505, 445937632, 20903180577, 21349118209, 148997889831, 170347008040, 7984960259671, 8155307267711, 56916803865937, 65072111133648, 3050233916013745 (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 (0,0,0,382,0,0,0,-1).

FORMULA

G.f.: (1 + x - x^2)*(1 + 8*x^2 + x^4)/(1 - 382*x^4 + x^8). - Colin Barker, Dec 01 2013

a(n) = 382*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Jan 14 2014

MATHEMATICA

Denominator[Convergents[Sqrt[570], 30]] (* Vincenzo Librandi, Jan 14 2014 *)

LinearRecurrence[{0, 0, 0, 382, 0, 0, 0, -1}, {1, 1, 7, 8, 375, 383, 2673, 3056}, 30] (* Harvey P. Dale, Jun 02 2017 *)

PROG

(MAGMA) I:=[1, 1, 7, 8, 375, 383, 2673, 3056]; [n le 8 select I[n] else 382*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Jan 14 2014

CROSSREFS

Cf. A042092, A040546.

Sequence in context: A041259 A041473 A041751 * A042499 A156206 A226487

Adjacent sequences:  A042090 A042091 A042092 * A042094 A042095 A042096

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 February 21 15:31 EST 2019. Contains 320374 sequences. (Running on oeis4.)