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A042139 Denominators of continued fraction convergents to sqrt(594). 2
1, 2, 3, 8, 43, 1040, 5243, 11526, 16769, 45064, 2179841, 4404746, 6584587, 17573920, 94454187, 2284474408, 11516826227, 25318126862, 36834953089, 98988033040, 4788260539009, 9675509111058, 14463769650067, 38603048411192, 207479011706027, 5018099329355840 (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 (0,0,0,0,0,0,0,0,0,2196610,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^18 -2*x^17 +3*x^16 -8*x^15 +43*x^14 -1040*x^13 +5243*x^12 -11526*x^11 +16769*x^10 -45064*x^9 -16769*x^8 -11526*x^7 -5243*x^6 -1040*x^5 -43*x^4 -8*x^3 -3*x^2 -2*x -1) / (x^20 -2196610*x^10 +1). - Colin Barker, Dec 02 2013

a(n) = 2196610*a(n-10) - a(n-20) for n>19. - Vincenzo Librandi, Jan 15 2014

MATHEMATICA

Denominator[Convergents[Sqrt[594], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

CROSSREFS

Cf. A042138, A040569.

Sequence in context: A064794 A127005 A042553 * A118127 A100644 A013208

Adjacent sequences:  A042136 A042137 A042138 * A042140 A042141 A042142

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 02 2013

STATUS

approved

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Last modified December 6 12:54 EST 2016. Contains 278781 sequences.