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A041903 Denominators of continued fraction convergents to sqrt(473). 2
1, 1, 3, 4, 171, 175, 521, 696, 29753, 30449, 90651, 121100, 5176851, 5297951, 15772753, 21070704, 900742321, 921813025, 2744368371, 3666181396, 156723987003, 160390168399, 477504323801, 637894492200, 27269072996201, 27906967488401, 83083007973003 (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, 174, 0, 0, 0, -1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+4*x^2+1) / (x^8-174*x^4+1). - Colin Barker, Nov 27 2013

a(n) = 174*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Dec 26 2013

MATHEMATICA

Denominator[Convergents[Sqrt[473], 30]] (* Vincenzo Librandi, Dec 26 2013 *)

PROG

(MAGMA) I:=[1, 1, 3, 4, 171, 175, 521, 696]; [n le 8 select I[n] else 174*Self(n-4)-Self(n-8): n in [1..50]]; // Vincenzo Librandi, Dec 26 2013

CROSSREFS

Cf. A041902, A040451.

Sequence in context: A077032 A041595 A041741 * A156513 A082213 A097172

Adjacent sequences:  A041900 A041901 A041902 * A041904 A041905 A041906

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 27 2013

STATUS

approved

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Last modified March 26 00:26 EDT 2019. Contains 321479 sequences. (Running on oeis4.)