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A042767 Denominators of continued fraction convergents to sqrt(914). 2
1, 4, 13, 43, 185, 11143, 44757, 145414, 480999, 2069410, 124645599, 500651806, 1626601017, 5380454857, 23148420445, 1394285681557, 5600291146673, 18195159121576, 60185768511401, 258938233167180, 15596479758542201, 62644857267335984 (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, 11186, 0, 0, 0, 0, 1).

FORMULA

G.f.: -(x^8 -4*x^7 +13*x^6 -43*x^5 +185*x^4 +43*x^3 +13*x^2 +4*x +1) / (x^10 +11186*x^5 -1). - Colin Barker, Dec 23 2013

MATHEMATICA

Denominator[Convergents[Sqrt[914], 30]] (* Vincenzo Librandi, Jan 28 2014 *)

LinearRecurrence[{0, 0, 0, 0, 11186, 0, 0, 0, 0, 1}, {1, 4, 13, 43, 185, 11143, 44757, 145414, 480999, 2069410}, 30] (* Harvey P. Dale, Apr 08 2016 *)

CROSSREFS

Cf. A042766, A040883.

Sequence in context: A297928 A113986 A149426 * A286175 A252831 A219708

Adjacent sequences:  A042764 A042765 A042766 * A042768 A042769 A042770

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 23 2013

STATUS

approved

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Last modified September 28 10:48 EDT 2021. Contains 347714 sequences. (Running on oeis4.)