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A041559 Denominators of continued fraction convergents to sqrt(297). 2
1, 4, 13, 17, 30, 77, 107, 184, 659, 2820, 96539, 388976, 1263467, 1652443, 2915910, 7484263, 10400173, 17884436, 64053481, 274098360, 9383397721, 37807689244, 122806465453, 160614154697, 283420620150, 727455394997, 1010876015147, 1738331410144 (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 (0,0,0,0,0,0,0,0,0,97198,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^18 -4*x^17 +13*x^16 -17*x^15 +30*x^14 -77*x^13 +107*x^12 -184*x^11 +659*x^10 -2820*x^9 -659*x^8 -184*x^7 -107*x^6 -77*x^5 -30*x^4 -17*x^3 -13*x^2 -4*x -1) / (x^20 -97198*x^10 +1). - Colin Barker, Nov 19 2013

a(n) = 97198*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Dec 20 2013

MATHEMATICA

Denominator[Convergents[Sqrt[297], 30]] (* Vincenzo Librandi, Dec 20 2013 *)

PROG

(MAGMA) I:=[1, 4, 13, 17, 30, 77, 107, 184, 659, 2820, 96539, 388976, 1263467, 1652443, 2915910, 7484263, 10400173, 17884436, 64053481, 274098360]; [n le 20 select I[n] else 97198*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 20 2013

CROSSREFS

Cf. A041558, A040279.

Sequence in context: A107462 A190863 A022132 * A280385 A190122 A042713

Adjacent sequences:  A041556 A041557 A041558 * A041560 A041561 A041562

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 19 2013

STATUS

approved

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Last modified February 16 04:47 EST 2019. Contains 320140 sequences. (Running on oeis4.)