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A042043 Denominators of continued fraction convergents to sqrt(545). 2
1, 2, 3, 26, 29, 84, 3893, 7870, 11763, 101974, 113737, 329448, 15268345, 30866138, 46134483, 399942002, 446076485, 1292094972, 59882445197, 121056985366, 180939430563, 1568572429870, 1749511860433, 5067596150736, 234858934794289, 474785465739314 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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, 3922, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^10-2*x^9+3*x^8-26*x^7+29*x^6-84*x^5-29*x^4-26*x^3-3*x^2-2*x-1) / (x^12-3922*x^6+1). - Colin Barker, Nov 30 2013

a(n) = 3922*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Jan 13 2014

MATHEMATICA

Denominator[Convergents[Sqrt[545], 38]] (* Vincenzo Librandi, Jan 13 2014 *)

PROG

(MAGMA) I:=[1, 2, 3, 26, 29, 84, 3893, 7870, 11763, 101974, 113737, 329448]; [n le 12 select I[n] else 3922*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Jan 13 2014

CROSSREFS

Cf. A042042, A040521.

Sequence in context: A032812 A099006 A041659 * A178196 A258766 A056722

Adjacent sequences:  A042040 A042041 A042042 * A042044 A042045 A042046

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 30 2013

STATUS

approved

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Last modified March 25 04:21 EDT 2019. Contains 321457 sequences. (Running on oeis4.)