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A042141 Denominators of continued fraction convergents to sqrt(595). 2
1, 2, 3, 5, 23, 28, 135, 163, 298, 759, 36730, 74219, 110949, 185168, 851621, 1036789, 4998777, 6035566, 11034343, 28104252, 1360038439, 2748181130, 4108219569, 6856400699, 31533822365, 38390223064, 185094714621, 223484937685, 408579652306, 1040644242297 (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 (0,0,0,0,0,0,0,0,0,37028,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^18 -2*x^17 +3*x^16 -5*x^15 +23*x^14 -28*x^13 +135*x^12 -163*x^11 +298*x^10 -759*x^9 -298*x^8 -163*x^7 -135*x^6 -28*x^5 -23*x^4 -5*x^3 -3*x^2 -2*x -1) / (x^20 -37028*x^10 +1). - Colin Barker, Dec 02 2013

MATHEMATICA

Denominator[Convergents[Sqrt[595], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

CROSSREFS

Cf. A042140, A040570.

Sequence in context: A024775 A024767 A041195 * A122004 A023231 A034470

Adjacent sequences:  A042138 A042139 A042140 * A042142 A042143 A042144

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 May 19 18:35 EDT 2022. Contains 353847 sequences. (Running on oeis4.)