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A041525 Denominators of continued fraction convergents to sqrt(279). 2
1, 1, 3, 7, 10, 27, 64, 91, 2976, 3067, 9110, 21287, 30397, 82081, 194559, 276640, 9047039, 9323679, 27694397, 64712473, 92406870, 249526213, 591459296, 840985509, 27502995584, 28343981093, 84190957770, 196725896633, 280916854403, 758559605439 (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, 0, 0, 0, 0, 3040, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^14 -x^13 +3*x^12 -7*x^11 +10*x^10 -27*x^9 +64*x^8 -91*x^7 -64*x^6 -27*x^5 -10*x^4 -7*x^3 -3*x^2 -x -1) / (x^16 -3040*x^8 +1). - Colin Barker, Nov 18 2013

a(n) = 3040*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 19 2013

MATHEMATICA

Denominator[Convergents[Sqrt[279], 30]] (* Vincenzo Librandi, Dec 19 2013 *)

PROG

(MAGMA) I:=[1, 1, 3, 7, 10, 27, 64, 91, 2976, 3067, 9110, 21287, 30397, 82081, 194559, 276640]; [n le 16 select I[n] else 3040*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 19 2013

CROSSREFS

Cf. A041524, A040262.

Sequence in context: A235490 A041437 A302279 * A251862 A056807 A146927

Adjacent sequences:  A041522 A041523 A041524 * A041526 A041527 A041528

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 18 2013

STATUS

approved

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Last modified June 23 09:44 EDT 2018. Contains 305694 sequences. (Running on oeis4.)