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A041983 Denominators of continued fraction convergents to sqrt(514). 2
1, 1, 3, 67, 137, 204, 9113, 9317, 27747, 619751, 1267249, 1887000, 84295249, 86182249, 256659747, 5732696683, 11722053113, 17454749796, 779731044137, 797185793933, 2374102632003, 53027443697999, 108428990028001, 161456433726000, 7212512073972001 (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 (0,0,0,0,0,9250,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^10-x^9+3*x^8-67*x^7+137*x^6-204*x^5-137*x^4-67*x^3-3*x^2-x-1) / (x^12-9250*x^6+1). - Colin Barker, Nov 28 2013

MATHEMATICA

Denominator[Convergents[Sqrt[514], 30]] (* Vincenzo Librandi, Jan 11 2014 *)

LinearRecurrence[{0, 0, 0, 0, 0, 9250, 0, 0, 0, 0, 0, -1}, {1, 1, 3, 67, 137, 204, 9113, 9317, 27747, 619751, 1267249, 1887000}, 30] (* Harvey P. Dale, Sep 15 2019 *)

PROG

(MAGMA) I:=[1, 1, 3, 67, 137, 204, 9113, 9317, 27747, 619751, 1267249, 1887000]; [n le 12 select I[n] else 9250*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Jan 11 2014

CROSSREFS

Cf. A041982, A040491.

Sequence in context: A110716 A142035 A142926 * A263549 A225191 A201857

Adjacent sequences:  A041980 A041981 A041982 * A041984 A041985 A041986

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 28 2013

STATUS

approved

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Last modified September 28 20:57 EDT 2021. Contains 347717 sequences. (Running on oeis4.)